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Finding the Fourth Proportional to 1,602.74, 2,402.44 and 677.52

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Solution

The fourth proportional to 1,602.74, 2,402.44 and 677.52 is: 1,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.74 : 2,402.44 = 677.52 : x
  2. Step 2: Convert to fraction form
    1,602.74/2,402.44 = 677.52/x
  3. Step 3: Cross multiply
    1,602.74x = 2,402.44 × 677.52
  4. Step 4: Simplify right side
    1,602.74x = 1,627,701.15
  5. Step 5: Solve for x
    x = 1,627,701.15/1,602.74
  6. Step 6: Final answer
    x = 1,015.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.