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Finding the Fourth Proportional to 2,342.16, 3,513.44 and 955.59

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Solution

The fourth proportional to 2,342.16, 3,513.44 and 955.59 is: 1,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.16 : 3,513.44 = 955.59 : x
  2. Step 2: Convert to fraction form
    2,342.16/3,513.44 = 955.59/x
  3. Step 3: Cross multiply
    2,342.16x = 3,513.44 × 955.59
  4. Step 4: Simplify right side
    2,342.16x = 3,357,419.30
  5. Step 5: Solve for x
    x = 3,357,419.30/2,342.16
  6. Step 6: Final answer
    x = 1,433.47

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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.