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Finding the Fourth Proportional to 2,888.95, 3,984.24 and 2,329.24

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Solution

The fourth proportional to 2,888.95, 3,984.24 and 2,329.24 is: 3,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.95 : 3,984.24 = 2,329.24 : x
  2. Step 2: Convert to fraction form
    2,888.95/3,984.24 = 2,329.24/x
  3. Step 3: Cross multiply
    2,888.95x = 3,984.24 × 2,329.24
  4. Step 4: Simplify right side
    2,888.95x = 9,280,251.18
  5. Step 5: Solve for x
    x = 9,280,251.18/2,888.95
  6. Step 6: Final answer
    x = 3,212.33

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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.