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Finding the Fourth Proportional to 2,697.72, 4,047.72 and 1,466

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Solution

The fourth proportional to 2,697.72, 4,047.72 and 1,466 is: 2,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.72 : 4,047.72 = 1,466 : x
  2. Step 2: Convert to fraction form
    2,697.72/4,047.72 = 1,466/x
  3. Step 3: Cross multiply
    2,697.72x = 4,047.72 × 1,466
  4. Step 4: Simplify right side
    2,697.72x = 5,933,957.52
  5. Step 5: Solve for x
    x = 5,933,957.52/2,697.72
  6. Step 6: Final answer
    x = 2,199.62

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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.