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Finding the Fourth Proportional to 2,343.16, 3,514.94 and 956.59

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Solution

The fourth proportional to 2,343.16, 3,514.94 and 956.59 is: 1,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.16 : 3,514.94 = 956.59 : x
  2. Step 2: Convert to fraction form
    2,343.16/3,514.94 = 956.59/x
  3. Step 3: Cross multiply
    2,343.16x = 3,514.94 × 956.59
  4. Step 4: Simplify right side
    2,343.16x = 3,362,356.45
  5. Step 5: Solve for x
    x = 3,362,356.45/2,343.16
  6. Step 6: Final answer
    x = 1,434.97

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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.