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Finding the Fourth Proportional to 2,218, 3,060.48 and 1,309.72

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Solution

The fourth proportional to 2,218, 3,060.48 and 1,309.72 is: 1,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,060.48 = 1,309.72 : x
  2. Step 2: Convert to fraction form
    2,218/3,060.48 = 1,309.72/x
  3. Step 3: Cross multiply
    2,218x = 3,060.48 × 1,309.72
  4. Step 4: Simplify right side
    2,218x = 4,008,371.87
  5. Step 5: Solve for x
    x = 4,008,371.87/2,218
  6. Step 6: Final answer
    x = 1,807.20

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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.