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Finding the Fourth Proportional to 1,670.62, 2,505.24 and 500.21

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Solution

The fourth proportional to 1,670.62, 2,505.24 and 500.21 is: 750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.62 : 2,505.24 = 500.21 : x
  2. Step 2: Convert to fraction form
    1,670.62/2,505.24 = 500.21/x
  3. Step 3: Cross multiply
    1,670.62x = 2,505.24 × 500.21
  4. Step 4: Simplify right side
    1,670.62x = 1,253,132.32
  5. Step 5: Solve for x
    x = 1,253,132.32/1,670.62
  6. Step 6: Final answer
    x = 750.10

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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.