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Finding the Fourth Proportional to 2,871.69, 4,306.62 and 1,411.86

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Solution

The fourth proportional to 2,871.69, 4,306.62 and 1,411.86 is: 2,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.69 : 4,306.62 = 1,411.86 : x
  2. Step 2: Convert to fraction form
    2,871.69/4,306.62 = 1,411.86/x
  3. Step 3: Cross multiply
    2,871.69x = 4,306.62 × 1,411.86
  4. Step 4: Simplify right side
    2,871.69x = 6,080,344.51
  5. Step 5: Solve for x
    x = 6,080,344.51/2,871.69
  6. Step 6: Final answer
    x = 2,117.34

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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.