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Finding the Fourth Proportional to 2,343.77, 3,514.65 and 956.15

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Solution

The fourth proportional to 2,343.77, 3,514.65 and 956.15 is: 1,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.77 : 3,514.65 = 956.15 : x
  2. Step 2: Convert to fraction form
    2,343.77/3,514.65 = 956.15/x
  3. Step 3: Cross multiply
    2,343.77x = 3,514.65 × 956.15
  4. Step 4: Simplify right side
    2,343.77x = 3,360,515.02
  5. Step 5: Solve for x
    x = 3,360,515.02/2,343.77
  6. Step 6: Final answer
    x = 1,433.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.