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Finding the Fourth Proportional to 2,052.47, 2,832.33 and 1,156.25

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Solution

The fourth proportional to 2,052.47, 2,832.33 and 1,156.25 is: 1,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.47 : 2,832.33 = 1,156.25 : x
  2. Step 2: Convert to fraction form
    2,052.47/2,832.33 = 1,156.25/x
  3. Step 3: Cross multiply
    2,052.47x = 2,832.33 × 1,156.25
  4. Step 4: Simplify right side
    2,052.47x = 3,274,867.40
  5. Step 5: Solve for x
    x = 3,274,867.40/2,052.47
  6. Step 6: Final answer
    x = 1,595.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.