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Finding the Fourth Proportional to 2,686.78, 3,708.03 and 1,508.14

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Solution

The fourth proportional to 2,686.78, 3,708.03 and 1,508.14 is: 2,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.78 : 3,708.03 = 1,508.14 : x
  2. Step 2: Convert to fraction form
    2,686.78/3,708.03 = 1,508.14/x
  3. Step 3: Cross multiply
    2,686.78x = 3,708.03 × 1,508.14
  4. Step 4: Simplify right side
    2,686.78x = 5,592,228.36
  5. Step 5: Solve for x
    x = 5,592,228.36/2,686.78
  6. Step 6: Final answer
    x = 2,081.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.