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Finding the Fourth Proportional to 2,363.41, 3,545.16 and 719.88

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Solution

The fourth proportional to 2,363.41, 3,545.16 and 719.88 is: 1,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.41 : 3,545.16 = 719.88 : x
  2. Step 2: Convert to fraction form
    2,363.41/3,545.16 = 719.88/x
  3. Step 3: Cross multiply
    2,363.41x = 3,545.16 × 719.88
  4. Step 4: Simplify right side
    2,363.41x = 2,552,089.78
  5. Step 5: Solve for x
    x = 2,552,089.78/2,363.41
  6. Step 6: Final answer
    x = 1,079.83

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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.