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Finding the Fourth Proportional to 1,742.64, 2,405.76 and 1,154.56

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Solution

The fourth proportional to 1,742.64, 2,405.76 and 1,154.56 is: 1,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.64 : 2,405.76 = 1,154.56 : x
  2. Step 2: Convert to fraction form
    1,742.64/2,405.76 = 1,154.56/x
  3. Step 3: Cross multiply
    1,742.64x = 2,405.76 × 1,154.56
  4. Step 4: Simplify right side
    1,742.64x = 2,777,594.27
  5. Step 5: Solve for x
    x = 2,777,594.27/1,742.64
  6. Step 6: Final answer
    x = 1,593.90

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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.