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Finding the Fourth Proportional to 2,686.90, 4,023.06 and 1,385.80

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Solution

The fourth proportional to 2,686.90, 4,023.06 and 1,385.80 is: 2,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.90 : 4,023.06 = 1,385.80 : x
  2. Step 2: Convert to fraction form
    2,686.90/4,023.06 = 1,385.80/x
  3. Step 3: Cross multiply
    2,686.90x = 4,023.06 × 1,385.80
  4. Step 4: Simplify right side
    2,686.90x = 5,575,156.55
  5. Step 5: Solve for x
    x = 5,575,156.55/2,686.90
  6. Step 6: Final answer
    x = 2,074.94

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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.