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Finding the Fourth Proportional to 2,117.53, 3,176.59 and 884.66

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Solution

The fourth proportional to 2,117.53, 3,176.59 and 884.66 is: 1,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.53 : 3,176.59 = 884.66 : x
  2. Step 2: Convert to fraction form
    2,117.53/3,176.59 = 884.66/x
  3. Step 3: Cross multiply
    2,117.53x = 3,176.59 × 884.66
  4. Step 4: Simplify right side
    2,117.53x = 2,810,202.11
  5. Step 5: Solve for x
    x = 2,810,202.11/2,117.53
  6. Step 6: Final answer
    x = 1,327.11

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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.