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Finding the Fourth Proportional to 2,068.93, 2,855.69 and 1,218.93

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Solution

The fourth proportional to 2,068.93, 2,855.69 and 1,218.93 is: 1,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.93 : 2,855.69 = 1,218.93 : x
  2. Step 2: Convert to fraction form
    2,068.93/2,855.69 = 1,218.93/x
  3. Step 3: Cross multiply
    2,068.93x = 2,855.69 × 1,218.93
  4. Step 4: Simplify right side
    2,068.93x = 3,480,886.21
  5. Step 5: Solve for x
    x = 3,480,886.21/2,068.93
  6. Step 6: Final answer
    x = 1,682.46

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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.