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Finding the Fourth Proportional to 1,509.62, 2,083.13 and 1,037.93

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Solution

The fourth proportional to 1,509.62, 2,083.13 and 1,037.93 is: 1,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.62 : 2,083.13 = 1,037.93 : x
  2. Step 2: Convert to fraction form
    1,509.62/2,083.13 = 1,037.93/x
  3. Step 3: Cross multiply
    1,509.62x = 2,083.13 × 1,037.93
  4. Step 4: Simplify right side
    1,509.62x = 2,162,143.12
  5. Step 5: Solve for x
    x = 2,162,143.12/1,509.62
  6. Step 6: Final answer
    x = 1,432.24

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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.