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Finding the Fourth Proportional to 1,720.47, 2,580.71 and 1,416.12

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Solution

The fourth proportional to 1,720.47, 2,580.71 and 1,416.12 is: 2,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.47 : 2,580.71 = 1,416.12 : x
  2. Step 2: Convert to fraction form
    1,720.47/2,580.71 = 1,416.12/x
  3. Step 3: Cross multiply
    1,720.47x = 2,580.71 × 1,416.12
  4. Step 4: Simplify right side
    1,720.47x = 3,654,595.05
  5. Step 5: Solve for x
    x = 3,654,595.05/1,720.47
  6. Step 6: Final answer
    x = 2,124.18

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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.