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Finding the Fourth Proportional to 4,695.76, 7,044.58 and 2,098.68

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Solution

The fourth proportional to 4,695.76, 7,044.58 and 2,098.68 is: 3,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.76 : 7,044.58 = 2,098.68 : x
  2. Step 2: Convert to fraction form
    4,695.76/7,044.58 = 2,098.68/x
  3. Step 3: Cross multiply
    4,695.76x = 7,044.58 × 2,098.68
  4. Step 4: Simplify right side
    4,695.76x = 14,784,319.15
  5. Step 5: Solve for x
    x = 14,784,319.15/4,695.76
  6. Step 6: Final answer
    x = 3,148.44

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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.