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Finding the Fourth Proportional to 1,339.42, 2,009.15 and 880.12

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Solution

The fourth proportional to 1,339.42, 2,009.15 and 880.12 is: 1,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.42 : 2,009.15 = 880.12 : x
  2. Step 2: Convert to fraction form
    1,339.42/2,009.15 = 880.12/x
  3. Step 3: Cross multiply
    1,339.42x = 2,009.15 × 880.12
  4. Step 4: Simplify right side
    1,339.42x = 1,768,293.10
  5. Step 5: Solve for x
    x = 1,768,293.10/1,339.42
  6. Step 6: Final answer
    x = 1,320.19

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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.