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Finding the Fourth Proportional to 2,611.48, 3,611.85 and 2,567.74

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Solution

The fourth proportional to 2,611.48, 3,611.85 and 2,567.74 is: 3,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.48 : 3,611.85 = 2,567.74 : x
  2. Step 2: Convert to fraction form
    2,611.48/3,611.85 = 2,567.74/x
  3. Step 3: Cross multiply
    2,611.48x = 3,611.85 × 2,567.74
  4. Step 4: Simplify right side
    2,611.48x = 9,274,291.72
  5. Step 5: Solve for x
    x = 9,274,291.72/2,611.48
  6. Step 6: Final answer
    x = 3,551.35

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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.