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Finding the Fourth Proportional to 3,135.90, 4,703.55 and 1,902.98

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Solution

The fourth proportional to 3,135.90, 4,703.55 and 1,902.98 is: 2,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.90 : 4,703.55 = 1,902.98 : x
  2. Step 2: Convert to fraction form
    3,135.90/4,703.55 = 1,902.98/x
  3. Step 3: Cross multiply
    3,135.90x = 4,703.55 × 1,902.98
  4. Step 4: Simplify right side
    3,135.90x = 8,950,748.56
  5. Step 5: Solve for x
    x = 8,950,748.56/3,135.90
  6. Step 6: Final answer
    x = 2,854.28

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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.