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Finding the Fourth Proportional to 2,247.84, 3,102 and 1,316.40

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Solution

The fourth proportional to 2,247.84, 3,102 and 1,316.40 is: 1,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.84 : 3,102 = 1,316.40 : x
  2. Step 2: Convert to fraction form
    2,247.84/3,102 = 1,316.40/x
  3. Step 3: Cross multiply
    2,247.84x = 3,102 × 1,316.40
  4. Step 4: Simplify right side
    2,247.84x = 4,083,472.80
  5. Step 5: Solve for x
    x = 4,083,472.80/2,247.84
  6. Step 6: Final answer
    x = 1,816.62

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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.