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Finding the Fourth Proportional to 1,507.20, 2,080.08 and 917.88

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Solution

The fourth proportional to 1,507.20, 2,080.08 and 917.88 is: 1,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.20 : 2,080.08 = 917.88 : x
  2. Step 2: Convert to fraction form
    1,507.20/2,080.08 = 917.88/x
  3. Step 3: Cross multiply
    1,507.20x = 2,080.08 × 917.88
  4. Step 4: Simplify right side
    1,507.20x = 1,909,263.83
  5. Step 5: Solve for x
    x = 1,909,263.83/1,507.20
  6. Step 6: Final answer
    x = 1,266.76

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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.