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Finding the Fourth Proportional to 2,688.59, 3,710.94 and 2,091.08

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Solution

The fourth proportional to 2,688.59, 3,710.94 and 2,091.08 is: 2,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.59 : 3,710.94 = 2,091.08 : x
  2. Step 2: Convert to fraction form
    2,688.59/3,710.94 = 2,091.08/x
  3. Step 3: Cross multiply
    2,688.59x = 3,710.94 × 2,091.08
  4. Step 4: Simplify right side
    2,688.59x = 7,759,872.42
  5. Step 5: Solve for x
    x = 7,759,872.42/2,688.59
  6. Step 6: Final answer
    x = 2,886.22

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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.