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Finding the Fourth Proportional to 2,501.60, 3,751.80 and 769.84

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Solution

The fourth proportional to 2,501.60, 3,751.80 and 769.84 is: 1,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.60 : 3,751.80 = 769.84 : x
  2. Step 2: Convert to fraction form
    2,501.60/3,751.80 = 769.84/x
  3. Step 3: Cross multiply
    2,501.60x = 3,751.80 × 769.84
  4. Step 4: Simplify right side
    2,501.60x = 2,888,285.71
  5. Step 5: Solve for x
    x = 2,888,285.71/2,501.60
  6. Step 6: Final answer
    x = 1,154.58

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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.