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Finding the Fourth Proportional to 2,686.88, 3,710.71 and 1,849.74

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Solution

The fourth proportional to 2,686.88, 3,710.71 and 1,849.74 is: 2,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.88 : 3,710.71 = 1,849.74 : x
  2. Step 2: Convert to fraction form
    2,686.88/3,710.71 = 1,849.74/x
  3. Step 3: Cross multiply
    2,686.88x = 3,710.71 × 1,849.74
  4. Step 4: Simplify right side
    2,686.88x = 6,863,847.58
  5. Step 5: Solve for x
    x = 6,863,847.58/2,686.88
  6. Step 6: Final answer
    x = 2,554.58

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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.