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Finding the Fourth Proportional to 1,416.06, 2,125.07 and 723.20

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Solution

The fourth proportional to 1,416.06, 2,125.07 and 723.20 is: 1,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.06 : 2,125.07 = 723.20 : x
  2. Step 2: Convert to fraction form
    1,416.06/2,125.07 = 723.20/x
  3. Step 3: Cross multiply
    1,416.06x = 2,125.07 × 723.20
  4. Step 4: Simplify right side
    1,416.06x = 1,536,850.62
  5. Step 5: Solve for x
    x = 1,536,850.62/1,416.06
  6. Step 6: Final answer
    x = 1,085.30

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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.