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Finding the Fourth Proportional to 2,574.81, 3,559.82 and 1,948.61

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Solution

The fourth proportional to 2,574.81, 3,559.82 and 1,948.61 is: 2,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.81 : 3,559.82 = 1,948.61 : x
  2. Step 2: Convert to fraction form
    2,574.81/3,559.82 = 1,948.61/x
  3. Step 3: Cross multiply
    2,574.81x = 3,559.82 × 1,948.61
  4. Step 4: Simplify right side
    2,574.81x = 6,936,700.01
  5. Step 5: Solve for x
    x = 6,936,700.01/2,574.81
  6. Step 6: Final answer
    x = 2,694.06

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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.