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Finding the Fourth Proportional to 2,685.64, 3,705.40 and 1,844.68

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Solution

The fourth proportional to 2,685.64, 3,705.40 and 1,844.68 is: 2,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.64 : 3,705.40 = 1,844.68 : x
  2. Step 2: Convert to fraction form
    2,685.64/3,705.40 = 1,844.68/x
  3. Step 3: Cross multiply
    2,685.64x = 3,705.40 × 1,844.68
  4. Step 4: Simplify right side
    2,685.64x = 6,835,277.27
  5. Step 5: Solve for x
    x = 6,835,277.27/2,685.64
  6. Step 6: Final answer
    x = 2,545.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.