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Finding the Fourth Proportional to 3,044.06, 4,557.84 and 1,580.12

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Solution

The fourth proportional to 3,044.06, 4,557.84 and 1,580.12 is: 2,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.06 : 4,557.84 = 1,580.12 : x
  2. Step 2: Convert to fraction form
    3,044.06/4,557.84 = 1,580.12/x
  3. Step 3: Cross multiply
    3,044.06x = 4,557.84 × 1,580.12
  4. Step 4: Simplify right side
    3,044.06x = 7,201,934.14
  5. Step 5: Solve for x
    x = 7,201,934.14/3,044.06
  6. Step 6: Final answer
    x = 2,365.90

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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.