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Finding the Fourth Proportional to 2,363.57, 3,521.10 and 2,256.95

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Solution

The fourth proportional to 2,363.57, 3,521.10 and 2,256.95 is: 3,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.57 : 3,521.10 = 2,256.95 : x
  2. Step 2: Convert to fraction form
    2,363.57/3,521.10 = 2,256.95/x
  3. Step 3: Cross multiply
    2,363.57x = 3,521.10 × 2,256.95
  4. Step 4: Simplify right side
    2,363.57x = 7,946,951.22
  5. Step 5: Solve for x
    x = 7,946,951.22/2,363.57
  6. Step 6: Final answer
    x = 3,362.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.