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Finding the Fourth Proportional to 2,047.84, 2,815.11 and 1,763.20

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Solution

The fourth proportional to 2,047.84, 2,815.11 and 1,763.20 is: 2,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.84 : 2,815.11 = 1,763.20 : x
  2. Step 2: Convert to fraction form
    2,047.84/2,815.11 = 1,763.20/x
  3. Step 3: Cross multiply
    2,047.84x = 2,815.11 × 1,763.20
  4. Step 4: Simplify right side
    2,047.84x = 4,963,601.95
  5. Step 5: Solve for x
    x = 4,963,601.95/2,047.84
  6. Step 6: Final answer
    x = 2,423.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.