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Finding the Fourth Proportional to 2,549.69, 3,824.48 and 700.76

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Solution

The fourth proportional to 2,549.69, 3,824.48 and 700.76 is: 1,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.69 : 3,824.48 = 700.76 : x
  2. Step 2: Convert to fraction form
    2,549.69/3,824.48 = 700.76/x
  3. Step 3: Cross multiply
    2,549.69x = 3,824.48 × 700.76
  4. Step 4: Simplify right side
    2,549.69x = 2,680,042.60
  5. Step 5: Solve for x
    x = 2,680,042.60/2,549.69
  6. Step 6: Final answer
    x = 1,051.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.