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Finding the Fourth Proportional to 2,652.03, 3,659.70 and 1,473.18

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Solution

The fourth proportional to 2,652.03, 3,659.70 and 1,473.18 is: 2,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.03 : 3,659.70 = 1,473.18 : x
  2. Step 2: Convert to fraction form
    2,652.03/3,659.70 = 1,473.18/x
  3. Step 3: Cross multiply
    2,652.03x = 3,659.70 × 1,473.18
  4. Step 4: Simplify right side
    2,652.03x = 5,391,391.38
  5. Step 5: Solve for x
    x = 5,391,391.38/2,652.03
  6. Step 6: Final answer
    x = 2,032.93

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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.