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Finding the Fourth Proportional to 1,806.66, 2,708.98 and 573.84

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Solution

The fourth proportional to 1,806.66, 2,708.98 and 573.84 is: 860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.66 : 2,708.98 = 573.84 : x
  2. Step 2: Convert to fraction form
    1,806.66/2,708.98 = 573.84/x
  3. Step 3: Cross multiply
    1,806.66x = 2,708.98 × 573.84
  4. Step 4: Simplify right side
    1,806.66x = 1,554,521.08
  5. Step 5: Solve for x
    x = 1,554,521.08/1,806.66
  6. Step 6: Final answer
    x = 860.44

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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.