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Finding the Fourth Proportional to 2,037.18, 3,053 and 1,061.30

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Solution

The fourth proportional to 2,037.18, 3,053 and 1,061.30 is: 1,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.18 : 3,053 = 1,061.30 : x
  2. Step 2: Convert to fraction form
    2,037.18/3,053 = 1,061.30/x
  3. Step 3: Cross multiply
    2,037.18x = 3,053 × 1,061.30
  4. Step 4: Simplify right side
    2,037.18x = 3,240,148.90
  5. Step 5: Solve for x
    x = 3,240,148.90/2,037.18
  6. Step 6: Final answer
    x = 1,590.51

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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.