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Finding the Fourth Proportional to 2,247.54, 3,102.02 and 1,303.20

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Solution

The fourth proportional to 2,247.54, 3,102.02 and 1,303.20 is: 1,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.54 : 3,102.02 = 1,303.20 : x
  2. Step 2: Convert to fraction form
    2,247.54/3,102.02 = 1,303.20/x
  3. Step 3: Cross multiply
    2,247.54x = 3,102.02 × 1,303.20
  4. Step 4: Simplify right side
    2,247.54x = 4,042,545.95
  5. Step 5: Solve for x
    x = 4,042,545.95/2,247.54
  6. Step 6: Final answer
    x = 1,798.65

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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.