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Finding the Fourth Proportional to 2,200.46, 3,036.03 and 1,360.76

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Solution

The fourth proportional to 2,200.46, 3,036.03 and 1,360.76 is: 1,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.46 : 3,036.03 = 1,360.76 : x
  2. Step 2: Convert to fraction form
    2,200.46/3,036.03 = 1,360.76/x
  3. Step 3: Cross multiply
    2,200.46x = 3,036.03 × 1,360.76
  4. Step 4: Simplify right side
    2,200.46x = 4,131,308.18
  5. Step 5: Solve for x
    x = 4,131,308.18/2,200.46
  6. Step 6: Final answer
    x = 1,877.47

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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.