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Finding the Fourth Proportional to 1,416.61, 2,123.75 and 625.41

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Solution

The fourth proportional to 1,416.61, 2,123.75 and 625.41 is: 937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.61 : 2,123.75 = 625.41 : x
  2. Step 2: Convert to fraction form
    1,416.61/2,123.75 = 625.41/x
  3. Step 3: Cross multiply
    1,416.61x = 2,123.75 × 625.41
  4. Step 4: Simplify right side
    1,416.61x = 1,328,213.71
  5. Step 5: Solve for x
    x = 1,328,213.71/1,416.61
  6. Step 6: Final answer
    x = 937.60

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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.