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Finding the Fourth Proportional to 2,337.74, 3,506.07 and 1,038.50

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Solution

The fourth proportional to 2,337.74, 3,506.07 and 1,038.50 is: 1,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.74 : 3,506.07 = 1,038.50 : x
  2. Step 2: Convert to fraction form
    2,337.74/3,506.07 = 1,038.50/x
  3. Step 3: Cross multiply
    2,337.74x = 3,506.07 × 1,038.50
  4. Step 4: Simplify right side
    2,337.74x = 3,641,053.70
  5. Step 5: Solve for x
    x = 3,641,053.70/2,337.74
  6. Step 6: Final answer
    x = 1,557.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.