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Finding the Fourth Proportional to 2,710.32, 4,038.30 and 2,419.26

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Solution

The fourth proportional to 2,710.32, 4,038.30 and 2,419.26 is: 3,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.32 : 4,038.30 = 2,419.26 : x
  2. Step 2: Convert to fraction form
    2,710.32/4,038.30 = 2,419.26/x
  3. Step 3: Cross multiply
    2,710.32x = 4,038.30 × 2,419.26
  4. Step 4: Simplify right side
    2,710.32x = 9,769,697.66
  5. Step 5: Solve for x
    x = 9,769,697.66/2,710.32
  6. Step 6: Final answer
    x = 3,604.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.