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Finding the Fourth Proportional to 2,877.66, 3,971.57 and 1,698.71

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Solution

The fourth proportional to 2,877.66, 3,971.57 and 1,698.71 is: 2,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.66 : 3,971.57 = 1,698.71 : x
  2. Step 2: Convert to fraction form
    2,877.66/3,971.57 = 1,698.71/x
  3. Step 3: Cross multiply
    2,877.66x = 3,971.57 × 1,698.71
  4. Step 4: Simplify right side
    2,877.66x = 6,746,517.32
  5. Step 5: Solve for x
    x = 6,746,517.32/2,877.66
  6. Step 6: Final answer
    x = 2,344.45

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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.