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Finding the Fourth Proportional to 2,363.50, 3,545.25 and 1,065.34

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Solution

The fourth proportional to 2,363.50, 3,545.25 and 1,065.34 is: 1,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.50 : 3,545.25 = 1,065.34 : x
  2. Step 2: Convert to fraction form
    2,363.50/3,545.25 = 1,065.34/x
  3. Step 3: Cross multiply
    2,363.50x = 3,545.25 × 1,065.34
  4. Step 4: Simplify right side
    2,363.50x = 3,776,896.64
  5. Step 5: Solve for x
    x = 3,776,896.64/2,363.50
  6. Step 6: Final answer
    x = 1,598.01

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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.