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Finding the Fourth Proportional to 1,632.05, 2,448.42 and 765.89

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Solution

The fourth proportional to 1,632.05, 2,448.42 and 765.89 is: 1,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.05 : 2,448.42 = 765.89 : x
  2. Step 2: Convert to fraction form
    1,632.05/2,448.42 = 765.89/x
  3. Step 3: Cross multiply
    1,632.05x = 2,448.42 × 765.89
  4. Step 4: Simplify right side
    1,632.05x = 1,875,220.39
  5. Step 5: Solve for x
    x = 1,875,220.39/1,632.05
  6. Step 6: Final answer
    x = 1,149.00

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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.