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Finding the Fourth Proportional to 2,047.41, 3,068.42 and 747.63

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Solution

The fourth proportional to 2,047.41, 3,068.42 and 747.63 is: 1,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.41 : 3,068.42 = 747.63 : x
  2. Step 2: Convert to fraction form
    2,047.41/3,068.42 = 747.63/x
  3. Step 3: Cross multiply
    2,047.41x = 3,068.42 × 747.63
  4. Step 4: Simplify right side
    2,047.41x = 2,294,039.11
  5. Step 5: Solve for x
    x = 2,294,039.11/2,047.41
  6. Step 6: Final answer
    x = 1,120.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.