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Finding the Fourth Proportional to 2,990.40, 4,126.05 and 2,046.84

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Solution

The fourth proportional to 2,990.40, 4,126.05 and 2,046.84 is: 2,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.40 : 4,126.05 = 2,046.84 : x
  2. Step 2: Convert to fraction form
    2,990.40/4,126.05 = 2,046.84/x
  3. Step 3: Cross multiply
    2,990.40x = 4,126.05 × 2,046.84
  4. Step 4: Simplify right side
    2,990.40x = 8,445,364.18
  5. Step 5: Solve for x
    x = 8,445,364.18/2,990.40
  6. Step 6: Final answer
    x = 2,824.16

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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.