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Finding the Fourth Proportional to 2,482.70, 3,425.14 and 1,538.16

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Solution

The fourth proportional to 2,482.70, 3,425.14 and 1,538.16 is: 2,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.70 : 3,425.14 = 1,538.16 : x
  2. Step 2: Convert to fraction form
    2,482.70/3,425.14 = 1,538.16/x
  3. Step 3: Cross multiply
    2,482.70x = 3,425.14 × 1,538.16
  4. Step 4: Simplify right side
    2,482.70x = 5,268,413.34
  5. Step 5: Solve for x
    x = 5,268,413.34/2,482.70
  6. Step 6: Final answer
    x = 2,122.05

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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.