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Finding the Fourth Proportional to 2,829.69, 4,244.76 and 1,186.74

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Solution

The fourth proportional to 2,829.69, 4,244.76 and 1,186.74 is: 1,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.69 : 4,244.76 = 1,186.74 : x
  2. Step 2: Convert to fraction form
    2,829.69/4,244.76 = 1,186.74/x
  3. Step 3: Cross multiply
    2,829.69x = 4,244.76 × 1,186.74
  4. Step 4: Simplify right side
    2,829.69x = 5,037,426.48
  5. Step 5: Solve for x
    x = 5,037,426.48/2,829.69
  6. Step 6: Final answer
    x = 1,780.20

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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.