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Finding the Fourth Proportional to 1,666.42, 2,298.24 and 1,247.76

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Solution

The fourth proportional to 1,666.42, 2,298.24 and 1,247.76 is: 1,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.42 : 2,298.24 = 1,247.76 : x
  2. Step 2: Convert to fraction form
    1,666.42/2,298.24 = 1,247.76/x
  3. Step 3: Cross multiply
    1,666.42x = 2,298.24 × 1,247.76
  4. Step 4: Simplify right side
    1,666.42x = 2,867,651.94
  5. Step 5: Solve for x
    x = 2,867,651.94/1,666.42
  6. Step 6: Final answer
    x = 1,720.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.