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Finding the Fourth Proportional to 2,686.50, 4,030.65 and 2,427.70

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Solution

The fourth proportional to 2,686.50, 4,030.65 and 2,427.70 is: 3,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.50 : 4,030.65 = 2,427.70 : x
  2. Step 2: Convert to fraction form
    2,686.50/4,030.65 = 2,427.70/x
  3. Step 3: Cross multiply
    2,686.50x = 4,030.65 × 2,427.70
  4. Step 4: Simplify right side
    2,686.50x = 9,785,209.01
  5. Step 5: Solve for x
    x = 9,785,209.01/2,686.50
  6. Step 6: Final answer
    x = 3,642.36

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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.