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Finding the Fourth Proportional to 1,527.92, 2,280.80 and 1,343.40

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Solution

The fourth proportional to 1,527.92, 2,280.80 and 1,343.40 is: 2,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.92 : 2,280.80 = 1,343.40 : x
  2. Step 2: Convert to fraction form
    1,527.92/2,280.80 = 1,343.40/x
  3. Step 3: Cross multiply
    1,527.92x = 2,280.80 × 1,343.40
  4. Step 4: Simplify right side
    1,527.92x = 3,064,026.72
  5. Step 5: Solve for x
    x = 3,064,026.72/1,527.92
  6. Step 6: Final answer
    x = 2,005.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.