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Finding the Fourth Proportional to 2,952, 4,427.52 and 2,083.68

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Solution

The fourth proportional to 2,952, 4,427.52 and 2,083.68 is: 3,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952 : 4,427.52 = 2,083.68 : x
  2. Step 2: Convert to fraction form
    2,952/4,427.52 = 2,083.68/x
  3. Step 3: Cross multiply
    2,952x = 4,427.52 × 2,083.68
  4. Step 4: Simplify right side
    2,952x = 9,225,534.87
  5. Step 5: Solve for x
    x = 9,225,534.87/2,952
  6. Step 6: Final answer
    x = 3,125.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.