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Finding the Fourth Proportional to 2,516.83, 3,775.25 and 956.47

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Solution

The fourth proportional to 2,516.83, 3,775.25 and 956.47 is: 1,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.83 : 3,775.25 = 956.47 : x
  2. Step 2: Convert to fraction form
    2,516.83/3,775.25 = 956.47/x
  3. Step 3: Cross multiply
    2,516.83x = 3,775.25 × 956.47
  4. Step 4: Simplify right side
    2,516.83x = 3,610,913.40
  5. Step 5: Solve for x
    x = 3,610,913.40/2,516.83
  6. Step 6: Final answer
    x = 1,434.71

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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.