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Finding the Fourth Proportional to 1,535.89, 2,119.53 and 837.25

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Solution

The fourth proportional to 1,535.89, 2,119.53 and 837.25 is: 1,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.89 : 2,119.53 = 837.25 : x
  2. Step 2: Convert to fraction form
    1,535.89/2,119.53 = 837.25/x
  3. Step 3: Cross multiply
    1,535.89x = 2,119.53 × 837.25
  4. Step 4: Simplify right side
    1,535.89x = 1,774,576.49
  5. Step 5: Solve for x
    x = 1,774,576.49/1,535.89
  6. Step 6: Final answer
    x = 1,155.41

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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.