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Finding the Fourth Proportional to 2,697.70, 4,044.15 and 2,406.10

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Solution

The fourth proportional to 2,697.70, 4,044.15 and 2,406.10 is: 3,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.70 : 4,044.15 = 2,406.10 : x
  2. Step 2: Convert to fraction form
    2,697.70/4,044.15 = 2,406.10/x
  3. Step 3: Cross multiply
    2,697.70x = 4,044.15 × 2,406.10
  4. Step 4: Simplify right side
    2,697.70x = 9,730,629.32
  5. Step 5: Solve for x
    x = 9,730,629.32/2,697.70
  6. Step 6: Final answer
    x = 3,607.01

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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.