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Finding the Fourth Proportional to 1,416.71, 2,124.38 and 723.26

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Solution

The fourth proportional to 1,416.71, 2,124.38 and 723.26 is: 1,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.71 : 2,124.38 = 723.26 : x
  2. Step 2: Convert to fraction form
    1,416.71/2,124.38 = 723.26/x
  3. Step 3: Cross multiply
    1,416.71x = 2,124.38 × 723.26
  4. Step 4: Simplify right side
    1,416.71x = 1,536,486.20
  5. Step 5: Solve for x
    x = 1,536,486.20/1,416.71
  6. Step 6: Final answer
    x = 1,084.54

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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.