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Finding the Fourth Proportional to 3,315.98, 4,974.55 and 1,094.20

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Solution

The fourth proportional to 3,315.98, 4,974.55 and 1,094.20 is: 1,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.98 : 4,974.55 = 1,094.20 : x
  2. Step 2: Convert to fraction form
    3,315.98/4,974.55 = 1,094.20/x
  3. Step 3: Cross multiply
    3,315.98x = 4,974.55 × 1,094.20
  4. Step 4: Simplify right side
    3,315.98x = 5,443,152.61
  5. Step 5: Solve for x
    x = 5,443,152.61/3,315.98
  6. Step 6: Final answer
    x = 1,641.49

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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.