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Finding the Fourth Proportional to 2,898.98, 4,002.61 and 2,234.74

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Solution

The fourth proportional to 2,898.98, 4,002.61 and 2,234.74 is: 3,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.98 : 4,002.61 = 2,234.74 : x
  2. Step 2: Convert to fraction form
    2,898.98/4,002.61 = 2,234.74/x
  3. Step 3: Cross multiply
    2,898.98x = 4,002.61 × 2,234.74
  4. Step 4: Simplify right side
    2,898.98x = 8,944,792.67
  5. Step 5: Solve for x
    x = 8,944,792.67/2,898.98
  6. Step 6: Final answer
    x = 3,085.50

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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.