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Finding the Fourth Proportional to 1,535.46, 2,118.96 and 872.32

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Solution

The fourth proportional to 1,535.46, 2,118.96 and 872.32 is: 1,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.46 : 2,118.96 = 872.32 : x
  2. Step 2: Convert to fraction form
    1,535.46/2,118.96 = 872.32/x
  3. Step 3: Cross multiply
    1,535.46x = 2,118.96 × 872.32
  4. Step 4: Simplify right side
    1,535.46x = 1,848,411.19
  5. Step 5: Solve for x
    x = 1,848,411.19/1,535.46
  6. Step 6: Final answer
    x = 1,203.82

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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.