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Finding the Fourth Proportional to 1,447.86, 2,170.45 and 788.76

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Solution

The fourth proportional to 1,447.86, 2,170.45 and 788.76 is: 1,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.86 : 2,170.45 = 788.76 : x
  2. Step 2: Convert to fraction form
    1,447.86/2,170.45 = 788.76/x
  3. Step 3: Cross multiply
    1,447.86x = 2,170.45 × 788.76
  4. Step 4: Simplify right side
    1,447.86x = 1,711,966.80
  5. Step 5: Solve for x
    x = 1,711,966.80/1,447.86
  6. Step 6: Final answer
    x = 1,182.41

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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.