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Finding the Fourth Proportional to 2,675.46, 3,690.88 and 1,731.55

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Solution

The fourth proportional to 2,675.46, 3,690.88 and 1,731.55 is: 2,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.46 : 3,690.88 = 1,731.55 : x
  2. Step 2: Convert to fraction form
    2,675.46/3,690.88 = 1,731.55/x
  3. Step 3: Cross multiply
    2,675.46x = 3,690.88 × 1,731.55
  4. Step 4: Simplify right side
    2,675.46x = 6,390,943.26
  5. Step 5: Solve for x
    x = 6,390,943.26/2,675.46
  6. Step 6: Final answer
    x = 2,388.73

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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.