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Finding the Fourth Proportional to 2,363.62, 3,545.86 and 719.98

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Solution

The fourth proportional to 2,363.62, 3,545.86 and 719.98 is: 1,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.62 : 3,545.86 = 719.98 : x
  2. Step 2: Convert to fraction form
    2,363.62/3,545.86 = 719.98/x
  3. Step 3: Cross multiply
    2,363.62x = 3,545.86 × 719.98
  4. Step 4: Simplify right side
    2,363.62x = 2,552,948.28
  5. Step 5: Solve for x
    x = 2,552,948.28/2,363.62
  6. Step 6: Final answer
    x = 1,080.10

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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.