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Finding the Fourth Proportional to 2,243.57, 3,096.35 and 1,360.00

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Solution

The fourth proportional to 2,243.57, 3,096.35 and 1,360.00 is: 1,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.57 : 3,096.35 = 1,360.00 : x
  2. Step 2: Convert to fraction form
    2,243.57/3,096.35 = 1,360.00/x
  3. Step 3: Cross multiply
    2,243.57x = 3,096.35 × 1,360.00
  4. Step 4: Simplify right side
    2,243.57x = 4,211,031.66
  5. Step 5: Solve for x
    x = 4,211,031.66/2,243.57
  6. Step 6: Final answer
    x = 1,876.93

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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.