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Finding the Fourth Proportional to 2,602.68, 3,903.88 and 654.88

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Solution

The fourth proportional to 2,602.68, 3,903.88 and 654.88 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.68 : 3,903.88 = 654.88 : x
  2. Step 2: Convert to fraction form
    2,602.68/3,903.88 = 654.88/x
  3. Step 3: Cross multiply
    2,602.68x = 3,903.88 × 654.88
  4. Step 4: Simplify right side
    2,602.68x = 2,556,572.93
  5. Step 5: Solve for x
    x = 2,556,572.93/2,602.68
  6. Step 6: Final answer
    x = 982.28

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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.