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Finding the Fourth Proportional to 1,334.60, 1,998.80 and 1,288.46

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Solution

The fourth proportional to 1,334.60, 1,998.80 and 1,288.46 is: 1,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.60 : 1,998.80 = 1,288.46 : x
  2. Step 2: Convert to fraction form
    1,334.60/1,998.80 = 1,288.46/x
  3. Step 3: Cross multiply
    1,334.60x = 1,998.80 × 1,288.46
  4. Step 4: Simplify right side
    1,334.60x = 2,575,373.85
  5. Step 5: Solve for x
    x = 2,575,373.85/1,334.60
  6. Step 6: Final answer
    x = 1,929.70

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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.