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Finding the Fourth Proportional to 3,053.88, 4,580.46 and 862.80

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Solution

The fourth proportional to 3,053.88, 4,580.46 and 862.80 is: 1,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.88 : 4,580.46 = 862.80 : x
  2. Step 2: Convert to fraction form
    3,053.88/4,580.46 = 862.80/x
  3. Step 3: Cross multiply
    3,053.88x = 4,580.46 × 862.80
  4. Step 4: Simplify right side
    3,053.88x = 3,952,020.89
  5. Step 5: Solve for x
    x = 3,952,020.89/3,053.88
  6. Step 6: Final answer
    x = 1,294.10

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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.