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Finding the Fourth Proportional to 2,677.93, 3,994.94 and 2,602.53

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Solution

The fourth proportional to 2,677.93, 3,994.94 and 2,602.53 is: 3,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.93 : 3,994.94 = 2,602.53 : x
  2. Step 2: Convert to fraction form
    2,677.93/3,994.94 = 2,602.53/x
  3. Step 3: Cross multiply
    2,677.93x = 3,994.94 × 2,602.53
  4. Step 4: Simplify right side
    2,677.93x = 10,396,943.07
  5. Step 5: Solve for x
    x = 10,396,943.07/2,677.93
  6. Step 6: Final answer
    x = 3,882.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.