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Finding the Fourth Proportional to 2,905.74, 4,009.91 and 1,711.42

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Solution

The fourth proportional to 2,905.74, 4,009.91 and 1,711.42 is: 2,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.74 : 4,009.91 = 1,711.42 : x
  2. Step 2: Convert to fraction form
    2,905.74/4,009.91 = 1,711.42/x
  3. Step 3: Cross multiply
    2,905.74x = 4,009.91 × 1,711.42
  4. Step 4: Simplify right side
    2,905.74x = 6,862,640.17
  5. Step 5: Solve for x
    x = 6,862,640.17/2,905.74
  6. Step 6: Final answer
    x = 2,361.75

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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.