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Finding the Fourth Proportional to 2,504.76, 3,756.84 and 861

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Solution

The fourth proportional to 2,504.76, 3,756.84 and 861 is: 1,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.76 : 3,756.84 = 861 : x
  2. Step 2: Convert to fraction form
    2,504.76/3,756.84 = 861/x
  3. Step 3: Cross multiply
    2,504.76x = 3,756.84 × 861
  4. Step 4: Simplify right side
    2,504.76x = 3,234,639.24
  5. Step 5: Solve for x
    x = 3,234,639.24/2,504.76
  6. Step 6: Final answer
    x = 1,291.40

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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.