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Finding the Fourth Proportional to 2,473.39, 3,705.02 and 1,652.05

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Solution

The fourth proportional to 2,473.39, 3,705.02 and 1,652.05 is: 2,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.39 : 3,705.02 = 1,652.05 : x
  2. Step 2: Convert to fraction form
    2,473.39/3,705.02 = 1,652.05/x
  3. Step 3: Cross multiply
    2,473.39x = 3,705.02 × 1,652.05
  4. Step 4: Simplify right side
    2,473.39x = 6,120,878.29
  5. Step 5: Solve for x
    x = 6,120,878.29/2,473.39
  6. Step 6: Final answer
    x = 2,474.69

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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.