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Finding the Fourth Proportional to 1,602.08, 2,402.65 and 677.62

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Solution

The fourth proportional to 1,602.08, 2,402.65 and 677.62 is: 1,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.08 : 2,402.65 = 677.62 : x
  2. Step 2: Convert to fraction form
    1,602.08/2,402.65 = 677.62/x
  3. Step 3: Cross multiply
    1,602.08x = 2,402.65 × 677.62
  4. Step 4: Simplify right side
    1,602.08x = 1,628,070.22
  5. Step 5: Solve for x
    x = 1,628,070.22/1,602.08
  6. Step 6: Final answer
    x = 1,016.22

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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.