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Finding the Fourth Proportional to 1,602.34, 2,403.62 and 676.98

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Solution

The fourth proportional to 1,602.34, 2,403.62 and 676.98 is: 1,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.34 : 2,403.62 = 676.98 : x
  2. Step 2: Convert to fraction form
    1,602.34/2,403.62 = 676.98/x
  3. Step 3: Cross multiply
    1,602.34x = 2,403.62 × 676.98
  4. Step 4: Simplify right side
    1,602.34x = 1,627,202.67
  5. Step 5: Solve for x
    x = 1,627,202.67/1,602.34
  6. Step 6: Final answer
    x = 1,015.52

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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.