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Finding the Fourth Proportional to 1,507.11, 2,080.18 and 909.78

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Solution

The fourth proportional to 1,507.11, 2,080.18 and 909.78 is: 1,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.11 : 2,080.18 = 909.78 : x
  2. Step 2: Convert to fraction form
    1,507.11/2,080.18 = 909.78/x
  3. Step 3: Cross multiply
    1,507.11x = 2,080.18 × 909.78
  4. Step 4: Simplify right side
    1,507.11x = 1,892,506.16
  5. Step 5: Solve for x
    x = 1,892,506.16/1,507.11
  6. Step 6: Final answer
    x = 1,255.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.