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Finding the Fourth Proportional to 2,363.90, 3,262.50 and 1,432.40

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Solution

The fourth proportional to 2,363.90, 3,262.50 and 1,432.40 is: 1,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.90 : 3,262.50 = 1,432.40 : x
  2. Step 2: Convert to fraction form
    2,363.90/3,262.50 = 1,432.40/x
  3. Step 3: Cross multiply
    2,363.90x = 3,262.50 × 1,432.40
  4. Step 4: Simplify right side
    2,363.90x = 4,673,188.69
  5. Step 5: Solve for x
    x = 4,673,188.69/2,363.90
  6. Step 6: Final answer
    x = 1,976.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.