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Finding the Fourth Proportional to 2,566.76, 3,842.46 and 1,652.84

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Solution

The fourth proportional to 2,566.76, 3,842.46 and 1,652.84 is: 2,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.76 : 3,842.46 = 1,652.84 : x
  2. Step 2: Convert to fraction form
    2,566.76/3,842.46 = 1,652.84/x
  3. Step 3: Cross multiply
    2,566.76x = 3,842.46 × 1,652.84
  4. Step 4: Simplify right side
    2,566.76x = 6,350,971.59
  5. Step 5: Solve for x
    x = 6,350,971.59/2,566.76
  6. Step 6: Final answer
    x = 2,474.31

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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.