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Finding the Fourth Proportional to 2,703.65, 4,057.76 and 1,061.34

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Solution

The fourth proportional to 2,703.65, 4,057.76 and 1,061.34 is: 1,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.65 : 4,057.76 = 1,061.34 : x
  2. Step 2: Convert to fraction form
    2,703.65/4,057.76 = 1,061.34/x
  3. Step 3: Cross multiply
    2,703.65x = 4,057.76 × 1,061.34
  4. Step 4: Simplify right side
    2,703.65x = 4,306,650.44
  5. Step 5: Solve for x
    x = 4,306,650.44/2,703.65
  6. Step 6: Final answer
    x = 1,592.91

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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.