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Finding the Fourth Proportional to 2,068.71, 2,855.18 and 1,405.11

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Solution

The fourth proportional to 2,068.71, 2,855.18 and 1,405.11 is: 1,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.71 : 2,855.18 = 1,405.11 : x
  2. Step 2: Convert to fraction form
    2,068.71/2,855.18 = 1,405.11/x
  3. Step 3: Cross multiply
    2,068.71x = 2,855.18 × 1,405.11
  4. Step 4: Simplify right side
    2,068.71x = 4,011,834.94
  5. Step 5: Solve for x
    x = 4,011,834.94/2,068.71
  6. Step 6: Final answer
    x = 1,939.29

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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.