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Finding the Fourth Proportional to 2,068.12, 2,854.43 and 1,902.07

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Solution

The fourth proportional to 2,068.12, 2,854.43 and 1,902.07 is: 2,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.12 : 2,854.43 = 1,902.07 : x
  2. Step 2: Convert to fraction form
    2,068.12/2,854.43 = 1,902.07/x
  3. Step 3: Cross multiply
    2,068.12x = 2,854.43 × 1,902.07
  4. Step 4: Simplify right side
    2,068.12x = 5,429,325.67
  5. Step 5: Solve for x
    x = 5,429,325.67/2,068.12
  6. Step 6: Final answer
    x = 2,625.25

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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.