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Finding the Fourth Proportional to 2,403.56, 3,604.86 and 671.72

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Solution

The fourth proportional to 2,403.56, 3,604.86 and 671.72 is: 1,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.56 : 3,604.86 = 671.72 : x
  2. Step 2: Convert to fraction form
    2,403.56/3,604.86 = 671.72/x
  3. Step 3: Cross multiply
    2,403.56x = 3,604.86 × 671.72
  4. Step 4: Simplify right side
    2,403.56x = 2,421,456.56
  5. Step 5: Solve for x
    x = 2,421,456.56/2,403.56
  6. Step 6: Final answer
    x = 1,007.45

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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.