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Finding the Fourth Proportional to 3,091.68, 4,264.11 and 1,913.40

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Solution

The fourth proportional to 3,091.68, 4,264.11 and 1,913.40 is: 2,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.68 : 4,264.11 = 1,913.40 : x
  2. Step 2: Convert to fraction form
    3,091.68/4,264.11 = 1,913.40/x
  3. Step 3: Cross multiply
    3,091.68x = 4,264.11 × 1,913.40
  4. Step 4: Simplify right side
    3,091.68x = 8,158,948.07
  5. Step 5: Solve for x
    x = 8,158,948.07/3,091.68
  6. Step 6: Final answer
    x = 2,639.00

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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.