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Finding the Fourth Proportional to 2,032.68, 3,047.88 and 645.77

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Solution

The fourth proportional to 2,032.68, 3,047.88 and 645.77 is: 968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.68 : 3,047.88 = 645.77 : x
  2. Step 2: Convert to fraction form
    2,032.68/3,047.88 = 645.77/x
  3. Step 3: Cross multiply
    2,032.68x = 3,047.88 × 645.77
  4. Step 4: Simplify right side
    2,032.68x = 1,968,214.23
  5. Step 5: Solve for x
    x = 1,968,214.23/2,032.68
  6. Step 6: Final answer
    x = 968.29

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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.