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Finding the Fourth Proportional to 3,114.90, 4,298.04 and 1,855.80

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Solution

The fourth proportional to 3,114.90, 4,298.04 and 1,855.80 is: 2,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.90 : 4,298.04 = 1,855.80 : x
  2. Step 2: Convert to fraction form
    3,114.90/4,298.04 = 1,855.80/x
  3. Step 3: Cross multiply
    3,114.90x = 4,298.04 × 1,855.80
  4. Step 4: Simplify right side
    3,114.90x = 7,976,302.63
  5. Step 5: Solve for x
    x = 7,976,302.63/3,114.90
  6. Step 6: Final answer
    x = 2,560.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.