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Finding the Fourth Proportional to 1,654.74, 2,482.56 and 1,349.47

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Solution

The fourth proportional to 1,654.74, 2,482.56 and 1,349.47 is: 2,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.74 : 2,482.56 = 1,349.47 : x
  2. Step 2: Convert to fraction form
    1,654.74/2,482.56 = 1,349.47/x
  3. Step 3: Cross multiply
    1,654.74x = 2,482.56 × 1,349.47
  4. Step 4: Simplify right side
    1,654.74x = 3,350,140.24
  5. Step 5: Solve for x
    x = 3,350,140.24/1,654.74
  6. Step 6: Final answer
    x = 2,024.57

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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.