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Finding the Fourth Proportional to 1,535.64, 2,119.24 and 854.30

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Solution

The fourth proportional to 1,535.64, 2,119.24 and 854.30 is: 1,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.64 : 2,119.24 = 854.30 : x
  2. Step 2: Convert to fraction form
    1,535.64/2,119.24 = 854.30/x
  3. Step 3: Cross multiply
    1,535.64x = 2,119.24 × 854.30
  4. Step 4: Simplify right side
    1,535.64x = 1,810,454.00
  5. Step 5: Solve for x
    x = 1,810,454.00/1,535.64
  6. Step 6: Final answer
    x = 1,178.96

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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.