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Finding the Fourth Proportional to 2,699.95, 3,724.84 and 1,652.62

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Solution

The fourth proportional to 2,699.95, 3,724.84 and 1,652.62 is: 2,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.95 : 3,724.84 = 1,652.62 : x
  2. Step 2: Convert to fraction form
    2,699.95/3,724.84 = 1,652.62/x
  3. Step 3: Cross multiply
    2,699.95x = 3,724.84 × 1,652.62
  4. Step 4: Simplify right side
    2,699.95x = 6,155,735.52
  5. Step 5: Solve for x
    x = 6,155,735.52/2,699.95
  6. Step 6: Final answer
    x = 2,279.94

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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.