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Finding the Fourth Proportional to 1,607.14, 2,410.47 and 437.21

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Solution

The fourth proportional to 1,607.14, 2,410.47 and 437.21 is: 655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.14 : 2,410.47 = 437.21 : x
  2. Step 2: Convert to fraction form
    1,607.14/2,410.47 = 437.21/x
  3. Step 3: Cross multiply
    1,607.14x = 2,410.47 × 437.21
  4. Step 4: Simplify right side
    1,607.14x = 1,053,881.59
  5. Step 5: Solve for x
    x = 1,053,881.59/1,607.14
  6. Step 6: Final answer
    x = 655.75

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