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Finding the Fourth Proportional to 1,432.83, 1,978.26 and 1,100.67

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Solution

The fourth proportional to 1,432.83, 1,978.26 and 1,100.67 is: 1,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.83 : 1,978.26 = 1,100.67 : x
  2. Step 2: Convert to fraction form
    1,432.83/1,978.26 = 1,100.67/x
  3. Step 3: Cross multiply
    1,432.83x = 1,978.26 × 1,100.67
  4. Step 4: Simplify right side
    1,432.83x = 2,177,411.43
  5. Step 5: Solve for x
    x = 2,177,411.43/1,432.83
  6. Step 6: Final answer
    x = 1,519.66

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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.