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Finding the Fourth Proportional to 2,805.84, 3,871.80 and 2,098.16

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Solution

The fourth proportional to 2,805.84, 3,871.80 and 2,098.16 is: 2,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.84 : 3,871.80 = 2,098.16 : x
  2. Step 2: Convert to fraction form
    2,805.84/3,871.80 = 2,098.16/x
  3. Step 3: Cross multiply
    2,805.84x = 3,871.80 × 2,098.16
  4. Step 4: Simplify right side
    2,805.84x = 8,123,655.89
  5. Step 5: Solve for x
    x = 8,123,655.89/2,805.84
  6. Step 6: Final answer
    x = 2,895.27

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1.5x scale

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.