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Finding the Fourth Proportional to 1,542.11, 2,312.75 and 719.58

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Solution

The fourth proportional to 1,542.11, 2,312.75 and 719.58 is: 1,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.11 : 2,312.75 = 719.58 : x
  2. Step 2: Convert to fraction form
    1,542.11/2,312.75 = 719.58/x
  3. Step 3: Cross multiply
    1,542.11x = 2,312.75 × 719.58
  4. Step 4: Simplify right side
    1,542.11x = 1,664,208.65
  5. Step 5: Solve for x
    x = 1,664,208.65/1,542.11
  6. Step 6: Final answer
    x = 1,079.18

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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.