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Finding the Fourth Proportional to 2,342.03, 3,514.19 and 956.32

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Solution

The fourth proportional to 2,342.03, 3,514.19 and 956.32 is: 1,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.03 : 3,514.19 = 956.32 : x
  2. Step 2: Convert to fraction form
    2,342.03/3,514.19 = 956.32/x
  3. Step 3: Cross multiply
    2,342.03x = 3,514.19 × 956.32
  4. Step 4: Simplify right side
    2,342.03x = 3,360,676.61
  5. Step 5: Solve for x
    x = 3,360,676.61/2,342.03
  6. Step 6: Final answer
    x = 1,434.94

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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.