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Finding the Fourth Proportional to 2,085.24, 3,127.84 and 546.24

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Solution

The fourth proportional to 2,085.24, 3,127.84 and 546.24 is: 819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.24 : 3,127.84 = 546.24 : x
  2. Step 2: Convert to fraction form
    2,085.24/3,127.84 = 546.24/x
  3. Step 3: Cross multiply
    2,085.24x = 3,127.84 × 546.24
  4. Step 4: Simplify right side
    2,085.24x = 1,708,551.32
  5. Step 5: Solve for x
    x = 1,708,551.32/2,085.24
  6. Step 6: Final answer
    x = 819.35

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