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Finding the Fourth Proportional to 1,535.84, 2,119.47 and 837.23

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Solution

The fourth proportional to 1,535.84, 2,119.47 and 837.23 is: 1,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.84 : 2,119.47 = 837.23 : x
  2. Step 2: Convert to fraction form
    1,535.84/2,119.47 = 837.23/x
  3. Step 3: Cross multiply
    1,535.84x = 2,119.47 × 837.23
  4. Step 4: Simplify right side
    1,535.84x = 1,774,483.87
  5. Step 5: Solve for x
    x = 1,774,483.87/1,535.84
  6. Step 6: Final answer
    x = 1,155.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.