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Finding the Fourth Proportional to 2,660.49, 3,677.94 and 2,417.49

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Solution

The fourth proportional to 2,660.49, 3,677.94 and 2,417.49 is: 3,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.49 : 3,677.94 = 2,417.49 : x
  2. Step 2: Convert to fraction form
    2,660.49/3,677.94 = 2,417.49/x
  3. Step 3: Cross multiply
    2,660.49x = 3,677.94 × 2,417.49
  4. Step 4: Simplify right side
    2,660.49x = 8,891,383.17
  5. Step 5: Solve for x
    x = 8,891,383.17/2,660.49
  6. Step 6: Final answer
    x = 3,342.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.