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Finding the Fourth Proportional to 2,990.76, 4,127.88 and 2,048.46

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Solution

The fourth proportional to 2,990.76, 4,127.88 and 2,048.46 is: 2,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.76 : 4,127.88 = 2,048.46 : x
  2. Step 2: Convert to fraction form
    2,990.76/4,127.88 = 2,048.46/x
  3. Step 3: Cross multiply
    2,990.76x = 4,127.88 × 2,048.46
  4. Step 4: Simplify right side
    2,990.76x = 8,455,797.06
  5. Step 5: Solve for x
    x = 8,455,797.06/2,990.76
  6. Step 6: Final answer
    x = 2,827.31

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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.