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Finding the Fourth Proportional to 1,566.63, 2,349.90 and 641.93

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Solution

The fourth proportional to 1,566.63, 2,349.90 and 641.93 is: 962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.63 : 2,349.90 = 641.93 : x
  2. Step 2: Convert to fraction form
    1,566.63/2,349.90 = 641.93/x
  3. Step 3: Cross multiply
    1,566.63x = 2,349.90 × 641.93
  4. Step 4: Simplify right side
    1,566.63x = 1,508,459.56
  5. Step 5: Solve for x
    x = 1,508,459.56/1,566.63
  6. Step 6: Final answer
    x = 962.87

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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.