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Finding the Fourth Proportional to 1,516.78, 2,275.80 and 737.20

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Solution

The fourth proportional to 1,516.78, 2,275.80 and 737.20 is: 1,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.78 : 2,275.80 = 737.20 : x
  2. Step 2: Convert to fraction form
    1,516.78/2,275.80 = 737.20/x
  3. Step 3: Cross multiply
    1,516.78x = 2,275.80 × 737.20
  4. Step 4: Simplify right side
    1,516.78x = 1,677,719.76
  5. Step 5: Solve for x
    x = 1,677,719.76/1,516.78
  6. Step 6: Final answer
    x = 1,106.11

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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.