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Finding the Fourth Proportional to 2,705.46, 4,055.03 and 2,397.92

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Solution

The fourth proportional to 2,705.46, 4,055.03 and 2,397.92 is: 3,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.46 : 4,055.03 = 2,397.92 : x
  2. Step 2: Convert to fraction form
    2,705.46/4,055.03 = 2,397.92/x
  3. Step 3: Cross multiply
    2,705.46x = 4,055.03 × 2,397.92
  4. Step 4: Simplify right side
    2,705.46x = 9,723,637.54
  5. Step 5: Solve for x
    x = 9,723,637.54/2,705.46
  6. Step 6: Final answer
    x = 3,594.08

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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.