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Finding the Fourth Proportional to 2,539.08, 3,809.34 and 807.84

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Solution

The fourth proportional to 2,539.08, 3,809.34 and 807.84 is: 1,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.08 : 3,809.34 = 807.84 : x
  2. Step 2: Convert to fraction form
    2,539.08/3,809.34 = 807.84/x
  3. Step 3: Cross multiply
    2,539.08x = 3,809.34 × 807.84
  4. Step 4: Simplify right side
    2,539.08x = 3,077,337.23
  5. Step 5: Solve for x
    x = 3,077,337.23/2,539.08
  6. Step 6: Final answer
    x = 1,211.99

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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.