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Finding the Fourth Proportional to 1,416.66, 2,124.23 and 492.15

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Solution

The fourth proportional to 1,416.66, 2,124.23 and 492.15 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.66 : 2,124.23 = 492.15 : x
  2. Step 2: Convert to fraction form
    1,416.66/2,124.23 = 492.15/x
  3. Step 3: Cross multiply
    1,416.66x = 2,124.23 × 492.15
  4. Step 4: Simplify right side
    1,416.66x = 1,045,437.33
  5. Step 5: Solve for x
    x = 1,045,437.33/1,416.66
  6. Step 6: Final answer
    x = 737.96

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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.