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Finding the Fourth Proportional to 3,387.14, 4,674.10 and 1,970.86

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Solution

The fourth proportional to 3,387.14, 4,674.10 and 1,970.86 is: 2,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.14 : 4,674.10 = 1,970.86 : x
  2. Step 2: Convert to fraction form
    3,387.14/4,674.10 = 1,970.86/x
  3. Step 3: Cross multiply
    3,387.14x = 4,674.10 × 1,970.86
  4. Step 4: Simplify right side
    3,387.14x = 9,211,963.50
  5. Step 5: Solve for x
    x = 9,211,963.50/3,387.14
  6. Step 6: Final answer
    x = 2,719.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.