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Finding the Fourth Proportional to 1,604.65, 2,397.08 and 1,162.39

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Solution

The fourth proportional to 1,604.65, 2,397.08 and 1,162.39 is: 1,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.65 : 2,397.08 = 1,162.39 : x
  2. Step 2: Convert to fraction form
    1,604.65/2,397.08 = 1,162.39/x
  3. Step 3: Cross multiply
    1,604.65x = 2,397.08 × 1,162.39
  4. Step 4: Simplify right side
    1,604.65x = 2,786,341.82
  5. Step 5: Solve for x
    x = 2,786,341.82/1,604.65
  6. Step 6: Final answer
    x = 1,736.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.