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Finding the Fourth Proportional to 2,343.06, 3,514.60 and 957.16

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Solution

The fourth proportional to 2,343.06, 3,514.60 and 957.16 is: 1,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.06 : 3,514.60 = 957.16 : x
  2. Step 2: Convert to fraction form
    2,343.06/3,514.60 = 957.16/x
  3. Step 3: Cross multiply
    2,343.06x = 3,514.60 × 957.16
  4. Step 4: Simplify right side
    2,343.06x = 3,364,034.54
  5. Step 5: Solve for x
    x = 3,364,034.54/2,343.06
  6. Step 6: Final answer
    x = 1,435.74

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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.