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Finding the Fourth Proportional to 3,060.55, 4,590.74 and 869.25

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Solution

The fourth proportional to 3,060.55, 4,590.74 and 869.25 is: 1,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.55 : 4,590.74 = 869.25 : x
  2. Step 2: Convert to fraction form
    3,060.55/4,590.74 = 869.25/x
  3. Step 3: Cross multiply
    3,060.55x = 4,590.74 × 869.25
  4. Step 4: Simplify right side
    3,060.55x = 3,990,500.75
  5. Step 5: Solve for x
    x = 3,990,500.75/3,060.55
  6. Step 6: Final answer
    x = 1,303.85

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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.