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Finding the Fourth Proportional to 2,368.11, 3,551.14 and 1,820.68

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Solution

The fourth proportional to 2,368.11, 3,551.14 and 1,820.68 is: 2,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.11 : 3,551.14 = 1,820.68 : x
  2. Step 2: Convert to fraction form
    2,368.11/3,551.14 = 1,820.68/x
  3. Step 3: Cross multiply
    2,368.11x = 3,551.14 × 1,820.68
  4. Step 4: Simplify right side
    2,368.11x = 6,465,482.97
  5. Step 5: Solve for x
    x = 6,465,482.97/2,368.11
  6. Step 6: Final answer
    x = 2,730.23

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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.