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Finding the Fourth Proportional to 2,709.40, 4,069.56 and 1,615.90

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Solution

The fourth proportional to 2,709.40, 4,069.56 and 1,615.90 is: 2,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.40 : 4,069.56 = 1,615.90 : x
  2. Step 2: Convert to fraction form
    2,709.40/4,069.56 = 1,615.90/x
  3. Step 3: Cross multiply
    2,709.40x = 4,069.56 × 1,615.90
  4. Step 4: Simplify right side
    2,709.40x = 6,575,991.83
  5. Step 5: Solve for x
    x = 6,575,991.83/2,709.40
  6. Step 6: Final answer
    x = 2,427.10

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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.