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Finding the Fourth Proportional to 3,065.12, 4,598.50 and 874.04

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Solution

The fourth proportional to 3,065.12, 4,598.50 and 874.04 is: 1,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.12 : 4,598.50 = 874.04 : x
  2. Step 2: Convert to fraction form
    3,065.12/4,598.50 = 874.04/x
  3. Step 3: Cross multiply
    3,065.12x = 4,598.50 × 874.04
  4. Step 4: Simplify right side
    3,065.12x = 4,019,272.94
  5. Step 5: Solve for x
    x = 4,019,272.94/3,065.12
  6. Step 6: Final answer
    x = 1,311.29

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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.