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Finding the Fourth Proportional to 1,806.84, 2,494.62 and 1,134.90

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Solution

The fourth proportional to 1,806.84, 2,494.62 and 1,134.90 is: 1,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.84 : 2,494.62 = 1,134.90 : x
  2. Step 2: Convert to fraction form
    1,806.84/2,494.62 = 1,134.90/x
  3. Step 3: Cross multiply
    1,806.84x = 2,494.62 × 1,134.90
  4. Step 4: Simplify right side
    1,806.84x = 2,831,144.24
  5. Step 5: Solve for x
    x = 2,831,144.24/1,806.84
  6. Step 6: Final answer
    x = 1,566.90

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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.