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Finding the Fourth Proportional to 2,504.12, 3,756.76 and 860.62

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Solution

The fourth proportional to 2,504.12, 3,756.76 and 860.62 is: 1,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.12 : 3,756.76 = 860.62 : x
  2. Step 2: Convert to fraction form
    2,504.12/3,756.76 = 860.62/x
  3. Step 3: Cross multiply
    2,504.12x = 3,756.76 × 860.62
  4. Step 4: Simplify right side
    2,504.12x = 3,233,142.79
  5. Step 5: Solve for x
    x = 3,233,142.79/2,504.12
  6. Step 6: Final answer
    x = 1,291.13

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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.