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Finding the Fourth Proportional to 2,710, 4,061.76 and 1,149.52

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Solution

The fourth proportional to 2,710, 4,061.76 and 1,149.52 is: 1,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710 : 4,061.76 = 1,149.52 : x
  2. Step 2: Convert to fraction form
    2,710/4,061.76 = 1,149.52/x
  3. Step 3: Cross multiply
    2,710x = 4,061.76 × 1,149.52
  4. Step 4: Simplify right side
    2,710x = 4,669,074.36
  5. Step 5: Solve for x
    x = 4,669,074.36/2,710
  6. Step 6: Final answer
    x = 1,722.91

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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.