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Finding the Fourth Proportional to 2,985.92, 4,109.96 and 2,187.84

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Solution

The fourth proportional to 2,985.92, 4,109.96 and 2,187.84 is: 3,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.92 : 4,109.96 = 2,187.84 : x
  2. Step 2: Convert to fraction form
    2,985.92/4,109.96 = 2,187.84/x
  3. Step 3: Cross multiply
    2,985.92x = 4,109.96 × 2,187.84
  4. Step 4: Simplify right side
    2,985.92x = 8,991,934.89
  5. Step 5: Solve for x
    x = 8,991,934.89/2,985.92
  6. Step 6: Final answer
    x = 3,011.45

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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.