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Finding the Fourth Proportional to 1,562.55, 2,342.20 and 638.74

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Solution

The fourth proportional to 1,562.55, 2,342.20 and 638.74 is: 957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.55 : 2,342.20 = 638.74 : x
  2. Step 2: Convert to fraction form
    1,562.55/2,342.20 = 638.74/x
  3. Step 3: Cross multiply
    1,562.55x = 2,342.20 × 638.74
  4. Step 4: Simplify right side
    1,562.55x = 1,496,056.83
  5. Step 5: Solve for x
    x = 1,496,056.83/1,562.55
  6. Step 6: Final answer
    x = 957.45

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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.