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Finding the Fourth Proportional to 2,909.04, 4,364 and 1,177.60

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Solution

The fourth proportional to 2,909.04, 4,364 and 1,177.60 is: 1,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.04 : 4,364 = 1,177.60 : x
  2. Step 2: Convert to fraction form
    2,909.04/4,364 = 1,177.60/x
  3. Step 3: Cross multiply
    2,909.04x = 4,364 × 1,177.60
  4. Step 4: Simplify right side
    2,909.04x = 5,139,046.40
  5. Step 5: Solve for x
    x = 5,139,046.40/2,909.04
  6. Step 6: Final answer
    x = 1,766.58

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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.