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Finding the Fourth Proportional to 2,117.49, 3,176.51 and 885.75

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Solution

The fourth proportional to 2,117.49, 3,176.51 and 885.75 is: 1,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.49 : 3,176.51 = 885.75 : x
  2. Step 2: Convert to fraction form
    2,117.49/3,176.51 = 885.75/x
  3. Step 3: Cross multiply
    2,117.49x = 3,176.51 × 885.75
  4. Step 4: Simplify right side
    2,117.49x = 2,813,589.30
  5. Step 5: Solve for x
    x = 2,813,589.30/2,117.49
  6. Step 6: Final answer
    x = 1,328.74

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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.