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Finding the Fourth Proportional to 1,535.30, 2,118.94 and 872.02

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Solution

The fourth proportional to 1,535.30, 2,118.94 and 872.02 is: 1,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.30 : 2,118.94 = 872.02 : x
  2. Step 2: Convert to fraction form
    1,535.30/2,118.94 = 872.02/x
  3. Step 3: Cross multiply
    1,535.30x = 2,118.94 × 872.02
  4. Step 4: Simplify right side
    1,535.30x = 1,847,750.58
  5. Step 5: Solve for x
    x = 1,847,750.58/1,535.30
  6. Step 6: Final answer
    x = 1,203.51

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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.