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Finding the Fourth Proportional to 3,062.89, 4,594.49 and 871.77

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Solution

The fourth proportional to 3,062.89, 4,594.49 and 871.77 is: 1,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.89 : 4,594.49 = 871.77 : x
  2. Step 2: Convert to fraction form
    3,062.89/4,594.49 = 871.77/x
  3. Step 3: Cross multiply
    3,062.89x = 4,594.49 × 871.77
  4. Step 4: Simplify right side
    3,062.89x = 4,005,354.69
  5. Step 5: Solve for x
    x = 4,005,354.69/3,062.89
  6. Step 6: Final answer
    x = 1,307.70

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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.