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Finding the Fourth Proportional to 2,343.78, 3,516.14 and 957.12

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Solution

The fourth proportional to 2,343.78, 3,516.14 and 957.12 is: 1,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.78 : 3,516.14 = 957.12 : x
  2. Step 2: Convert to fraction form
    2,343.78/3,516.14 = 957.12/x
  3. Step 3: Cross multiply
    2,343.78x = 3,516.14 × 957.12
  4. Step 4: Simplify right side
    2,343.78x = 3,365,363.13
  5. Step 5: Solve for x
    x = 3,365,363.13/2,343.78
  6. Step 6: Final answer
    x = 1,435.87

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1.5x scale

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.