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Finding the Fourth Proportional to 2,744.42, 4,117.64 and 989.55

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Solution

The fourth proportional to 2,744.42, 4,117.64 and 989.55 is: 1,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.42 : 4,117.64 = 989.55 : x
  2. Step 2: Convert to fraction form
    2,744.42/4,117.64 = 989.55/x
  3. Step 3: Cross multiply
    2,744.42x = 4,117.64 × 989.55
  4. Step 4: Simplify right side
    2,744.42x = 4,074,605.71
  5. Step 5: Solve for x
    x = 4,074,605.71/2,744.42
  6. Step 6: Final answer
    x = 1,484.69

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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.