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Finding the Fourth Proportional to 2,321.38, 3,482.61 and 782.38

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Solution

The fourth proportional to 2,321.38, 3,482.61 and 782.38 is: 1,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.38 : 3,482.61 = 782.38 : x
  2. Step 2: Convert to fraction form
    2,321.38/3,482.61 = 782.38/x
  3. Step 3: Cross multiply
    2,321.38x = 3,482.61 × 782.38
  4. Step 4: Simplify right side
    2,321.38x = 2,724,707.00
  5. Step 5: Solve for x
    x = 2,724,707.00/2,321.38
  6. Step 6: Final answer
    x = 1,173.75

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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.