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Finding the Fourth Proportional to 3,108.04, 4,662.06 and 916.80

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Solution

The fourth proportional to 3,108.04, 4,662.06 and 916.80 is: 1,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.04 : 4,662.06 = 916.80 : x
  2. Step 2: Convert to fraction form
    3,108.04/4,662.06 = 916.80/x
  3. Step 3: Cross multiply
    3,108.04x = 4,662.06 × 916.80
  4. Step 4: Simplify right side
    3,108.04x = 4,274,176.61
  5. Step 5: Solve for x
    x = 4,274,176.61/3,108.04
  6. Step 6: Final answer
    x = 1,375.20

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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.