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Finding the Fourth Proportional to 2,032.32, 3,048.45 and 645.66

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Solution

The fourth proportional to 2,032.32, 3,048.45 and 645.66 is: 968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.32 : 3,048.45 = 645.66 : x
  2. Step 2: Convert to fraction form
    2,032.32/3,048.45 = 645.66/x
  3. Step 3: Cross multiply
    2,032.32x = 3,048.45 × 645.66
  4. Step 4: Simplify right side
    2,032.32x = 1,968,262.23
  5. Step 5: Solve for x
    x = 1,968,262.23/2,032.32
  6. Step 6: Final answer
    x = 968.48

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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.