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Finding the Fourth Proportional to 2,498.61, 3,446.29 and 1,752.74

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Solution

The fourth proportional to 2,498.61, 3,446.29 and 1,752.74 is: 2,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.61 : 3,446.29 = 1,752.74 : x
  2. Step 2: Convert to fraction form
    2,498.61/3,446.29 = 1,752.74/x
  3. Step 3: Cross multiply
    2,498.61x = 3,446.29 × 1,752.74
  4. Step 4: Simplify right side
    2,498.61x = 6,040,450.33
  5. Step 5: Solve for x
    x = 6,040,450.33/2,498.61
  6. Step 6: Final answer
    x = 2,417.52

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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.