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Finding the Fourth Proportional to 3,078.29, 4,616.98 and 886.74

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Solution

The fourth proportional to 3,078.29, 4,616.98 and 886.74 is: 1,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.29 : 4,616.98 = 886.74 : x
  2. Step 2: Convert to fraction form
    3,078.29/4,616.98 = 886.74/x
  3. Step 3: Cross multiply
    3,078.29x = 4,616.98 × 886.74
  4. Step 4: Simplify right side
    3,078.29x = 4,094,060.85
  5. Step 5: Solve for x
    x = 4,094,060.85/3,078.29
  6. Step 6: Final answer
    x = 1,329.98

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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.