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Finding the Fourth Proportional to 2,671.81, 3,687.29 and 1,740.31

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Solution

The fourth proportional to 2,671.81, 3,687.29 and 1,740.31 is: 2,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.81 : 3,687.29 = 1,740.31 : x
  2. Step 2: Convert to fraction form
    2,671.81/3,687.29 = 1,740.31/x
  3. Step 3: Cross multiply
    2,671.81x = 3,687.29 × 1,740.31
  4. Step 4: Simplify right side
    2,671.81x = 6,417,018.96
  5. Step 5: Solve for x
    x = 6,417,018.96/2,671.81
  6. Step 6: Final answer
    x = 2,401.75

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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.