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Finding the Fourth Proportional to 2,309.48, 3,447.40 and 2,017.88

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Solution

The fourth proportional to 2,309.48, 3,447.40 and 2,017.88 is: 3,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.48 : 3,447.40 = 2,017.88 : x
  2. Step 2: Convert to fraction form
    2,309.48/3,447.40 = 2,017.88/x
  3. Step 3: Cross multiply
    2,309.48x = 3,447.40 × 2,017.88
  4. Step 4: Simplify right side
    2,309.48x = 6,956,439.51
  5. Step 5: Solve for x
    x = 6,956,439.51/2,309.48
  6. Step 6: Final answer
    x = 3,012.12

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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.