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Finding the Fourth Proportional to 1,264.60, 1,909.06 and 1,191.70

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Solution

The fourth proportional to 1,264.60, 1,909.06 and 1,191.70 is: 1,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.60 : 1,909.06 = 1,191.70 : x
  2. Step 2: Convert to fraction form
    1,264.60/1,909.06 = 1,191.70/x
  3. Step 3: Cross multiply
    1,264.60x = 1,909.06 × 1,191.70
  4. Step 4: Simplify right side
    1,264.60x = 2,275,026.80
  5. Step 5: Solve for x
    x = 2,275,026.80/1,264.60
  6. Step 6: Final answer
    x = 1,799.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.