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Finding the Fourth Proportional to 2,364.49, 3,267.16 and 1,871.05

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Solution

The fourth proportional to 2,364.49, 3,267.16 and 1,871.05 is: 2,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.49 : 3,267.16 = 1,871.05 : x
  2. Step 2: Convert to fraction form
    2,364.49/3,267.16 = 1,871.05/x
  3. Step 3: Cross multiply
    2,364.49x = 3,267.16 × 1,871.05
  4. Step 4: Simplify right side
    2,364.49x = 6,113,003.38
  5. Step 5: Solve for x
    x = 6,113,003.38/2,364.49
  6. Step 6: Final answer
    x = 2,585.34

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Why These Related Problems?

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