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Finding the Fourth Proportional to 2,035.47, 3,053.31 and 574.74

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Solution

The fourth proportional to 2,035.47, 3,053.31 and 574.74 is: 862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.47 : 3,053.31 = 574.74 : x
  2. Step 2: Convert to fraction form
    2,035.47/3,053.31 = 574.74/x
  3. Step 3: Cross multiply
    2,035.47x = 3,053.31 × 574.74
  4. Step 4: Simplify right side
    2,035.47x = 1,754,859.39
  5. Step 5: Solve for x
    x = 1,754,859.39/2,035.47
  6. Step 6: Final answer
    x = 862.14

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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.