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Finding the Fourth Proportional to 1,551.30, 2,140.77 and 852.66

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Solution

The fourth proportional to 1,551.30, 2,140.77 and 852.66 is: 1,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.30 : 2,140.77 = 852.66 : x
  2. Step 2: Convert to fraction form
    1,551.30/2,140.77 = 852.66/x
  3. Step 3: Cross multiply
    1,551.30x = 2,140.77 × 852.66
  4. Step 4: Simplify right side
    1,551.30x = 1,825,348.95
  5. Step 5: Solve for x
    x = 1,825,348.95/1,551.30
  6. Step 6: Final answer
    x = 1,176.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.