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Finding the Fourth Proportional to 2,617.81, 3,928.07 and 1,740.93

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Solution

The fourth proportional to 2,617.81, 3,928.07 and 1,740.93 is: 2,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.81 : 3,928.07 = 1,740.93 : x
  2. Step 2: Convert to fraction form
    2,617.81/3,928.07 = 1,740.93/x
  3. Step 3: Cross multiply
    2,617.81x = 3,928.07 × 1,740.93
  4. Step 4: Simplify right side
    2,617.81x = 6,838,494.91
  5. Step 5: Solve for x
    x = 6,838,494.91/2,617.81
  6. Step 6: Final answer
    x = 2,612.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.