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Finding the Fourth Proportional to 3,044.17, 4,566.98 and 1,582.99

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Solution

The fourth proportional to 3,044.17, 4,566.98 and 1,582.99 is: 2,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.17 : 4,566.98 = 1,582.99 : x
  2. Step 2: Convert to fraction form
    3,044.17/4,566.98 = 1,582.99/x
  3. Step 3: Cross multiply
    3,044.17x = 4,566.98 × 1,582.99
  4. Step 4: Simplify right side
    3,044.17x = 7,229,475.76
  5. Step 5: Solve for x
    x = 7,229,475.76/3,044.17
  6. Step 6: Final answer
    x = 2,374.86

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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.