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Finding the Fourth Proportional to 2,609.93, 3,915.11 and 1,049.74

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Solution

The fourth proportional to 2,609.93, 3,915.11 and 1,049.74 is: 1,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.93 : 3,915.11 = 1,049.74 : x
  2. Step 2: Convert to fraction form
    2,609.93/3,915.11 = 1,049.74/x
  3. Step 3: Cross multiply
    2,609.93x = 3,915.11 × 1,049.74
  4. Step 4: Simplify right side
    2,609.93x = 4,109,840.41
  5. Step 5: Solve for x
    x = 4,109,840.41/2,609.93
  6. Step 6: Final answer
    x = 1,574.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.