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Finding the Fourth Proportional to 1,535.94, 2,119.62 and 837.32

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Solution

The fourth proportional to 1,535.94, 2,119.62 and 837.32 is: 1,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.94 : 2,119.62 = 837.32 : x
  2. Step 2: Convert to fraction form
    1,535.94/2,119.62 = 837.32/x
  3. Step 3: Cross multiply
    1,535.94x = 2,119.62 × 837.32
  4. Step 4: Simplify right side
    1,535.94x = 1,774,800.22
  5. Step 5: Solve for x
    x = 1,774,800.22/1,535.94
  6. Step 6: Final answer
    x = 1,155.51

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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.