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Finding the Fourth Proportional to 2,752.17, 4,122.77 and 1,709.70

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Solution

The fourth proportional to 2,752.17, 4,122.77 and 1,709.70 is: 2,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.17 : 4,122.77 = 1,709.70 : x
  2. Step 2: Convert to fraction form
    2,752.17/4,122.77 = 1,709.70/x
  3. Step 3: Cross multiply
    2,752.17x = 4,122.77 × 1,709.70
  4. Step 4: Simplify right side
    2,752.17x = 7,048,691.32
  5. Step 5: Solve for x
    x = 7,048,691.32/2,752.17
  6. Step 6: Final answer
    x = 2,561.14

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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.