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Finding the Fourth Proportional to 1,555.77, 2,146.96 and 857.14

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Solution

The fourth proportional to 1,555.77, 2,146.96 and 857.14 is: 1,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.77 : 2,146.96 = 857.14 : x
  2. Step 2: Convert to fraction form
    1,555.77/2,146.96 = 857.14/x
  3. Step 3: Cross multiply
    1,555.77x = 2,146.96 × 857.14
  4. Step 4: Simplify right side
    1,555.77x = 1,840,245.29
  5. Step 5: Solve for x
    x = 1,840,245.29/1,555.77
  6. Step 6: Final answer
    x = 1,182.85

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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.