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Finding the Fourth Proportional to 2,376.73, 3,565.81 and 1,684.73

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Solution

The fourth proportional to 2,376.73, 3,565.81 and 1,684.73 is: 2,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.73 : 3,565.81 = 1,684.73 : x
  2. Step 2: Convert to fraction form
    2,376.73/3,565.81 = 1,684.73/x
  3. Step 3: Cross multiply
    2,376.73x = 3,565.81 × 1,684.73
  4. Step 4: Simplify right side
    2,376.73x = 6,007,427.08
  5. Step 5: Solve for x
    x = 6,007,427.08/2,376.73
  6. Step 6: Final answer
    x = 2,527.60

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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.