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Finding the Fourth Proportional to 1,507.82, 2,256.56 and 952.26

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Solution

The fourth proportional to 1,507.82, 2,256.56 and 952.26 is: 1,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.82 : 2,256.56 = 952.26 : x
  2. Step 2: Convert to fraction form
    1,507.82/2,256.56 = 952.26/x
  3. Step 3: Cross multiply
    1,507.82x = 2,256.56 × 952.26
  4. Step 4: Simplify right side
    1,507.82x = 2,148,822.17
  5. Step 5: Solve for x
    x = 2,148,822.17/1,507.82
  6. Step 6: Final answer
    x = 1,425.12

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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.