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Finding the Fourth Proportional to 2,853.84, 3,938.12 and 1,595.08

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Solution

The fourth proportional to 2,853.84, 3,938.12 and 1,595.08 is: 2,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.84 : 3,938.12 = 1,595.08 : x
  2. Step 2: Convert to fraction form
    2,853.84/3,938.12 = 1,595.08/x
  3. Step 3: Cross multiply
    2,853.84x = 3,938.12 × 1,595.08
  4. Step 4: Simplify right side
    2,853.84x = 6,281,616.45
  5. Step 5: Solve for x
    x = 6,281,616.45/2,853.84
  6. Step 6: Final answer
    x = 2,201.11

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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.