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Finding the Fourth Proportional to 2,838.02, 4,255.23 and 988.97

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Solution

The fourth proportional to 2,838.02, 4,255.23 and 988.97 is: 1,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.02 : 4,255.23 = 988.97 : x
  2. Step 2: Convert to fraction form
    2,838.02/4,255.23 = 988.97/x
  3. Step 3: Cross multiply
    2,838.02x = 4,255.23 × 988.97
  4. Step 4: Simplify right side
    2,838.02x = 4,208,294.81
  5. Step 5: Solve for x
    x = 4,208,294.81/2,838.02
  6. Step 6: Final answer
    x = 1,482.83

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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.