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Finding the Fourth Proportional to 2,644.48, 3,947.16 and 2,333.14

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Solution

The fourth proportional to 2,644.48, 3,947.16 and 2,333.14 is: 3,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.48 : 3,947.16 = 2,333.14 : x
  2. Step 2: Convert to fraction form
    2,644.48/3,947.16 = 2,333.14/x
  3. Step 3: Cross multiply
    2,644.48x = 3,947.16 × 2,333.14
  4. Step 4: Simplify right side
    2,644.48x = 9,209,275.76
  5. Step 5: Solve for x
    x = 9,209,275.76/2,644.48
  6. Step 6: Final answer
    x = 3,482.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.