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Finding the Fourth Proportional to 2,906.88, 4,011.52 and 2,686.40

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Solution

The fourth proportional to 2,906.88, 4,011.52 and 2,686.40 is: 3,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.88 : 4,011.52 = 2,686.40 : x
  2. Step 2: Convert to fraction form
    2,906.88/4,011.52 = 2,686.40/x
  3. Step 3: Cross multiply
    2,906.88x = 4,011.52 × 2,686.40
  4. Step 4: Simplify right side
    2,906.88x = 10,776,547.33
  5. Step 5: Solve for x
    x = 10,776,547.33/2,906.88
  6. Step 6: Final answer
    x = 3,707.26

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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.