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Finding the Fourth Proportional to 2,065.48, 3,097.80 and 604.72

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Solution

The fourth proportional to 2,065.48, 3,097.80 and 604.72 is: 906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.48 : 3,097.80 = 604.72 : x
  2. Step 2: Convert to fraction form
    2,065.48/3,097.80 = 604.72/x
  3. Step 3: Cross multiply
    2,065.48x = 3,097.80 × 604.72
  4. Step 4: Simplify right side
    2,065.48x = 1,873,301.62
  5. Step 5: Solve for x
    x = 1,873,301.62/2,065.48
  6. Step 6: Final answer
    x = 906.96

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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.