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Finding the Fourth Proportional to 2,363.58, 3,545.58 and 720.30

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Solution

The fourth proportional to 2,363.58, 3,545.58 and 720.30 is: 1,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.58 : 3,545.58 = 720.30 : x
  2. Step 2: Convert to fraction form
    2,363.58/3,545.58 = 720.30/x
  3. Step 3: Cross multiply
    2,363.58x = 3,545.58 × 720.30
  4. Step 4: Simplify right side
    2,363.58x = 2,553,881.27
  5. Step 5: Solve for x
    x = 2,553,881.27/2,363.58
  6. Step 6: Final answer
    x = 1,080.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.