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Finding the Fourth Proportional to 2,681.91, 3,700.98 and 1,470.58

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Solution

The fourth proportional to 2,681.91, 3,700.98 and 1,470.58 is: 2,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.91 : 3,700.98 = 1,470.58 : x
  2. Step 2: Convert to fraction form
    2,681.91/3,700.98 = 1,470.58/x
  3. Step 3: Cross multiply
    2,681.91x = 3,700.98 × 1,470.58
  4. Step 4: Simplify right side
    2,681.91x = 5,442,568.66
  5. Step 5: Solve for x
    x = 5,442,568.66/2,681.91
  6. Step 6: Final answer
    x = 2,029.36

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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.