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Finding the Fourth Proportional to 1,530.84, 2,112.51 and 867.69

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Solution

The fourth proportional to 1,530.84, 2,112.51 and 867.69 is: 1,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.84 : 2,112.51 = 867.69 : x
  2. Step 2: Convert to fraction form
    1,530.84/2,112.51 = 867.69/x
  3. Step 3: Cross multiply
    1,530.84x = 2,112.51 × 867.69
  4. Step 4: Simplify right side
    1,530.84x = 1,833,003.80
  5. Step 5: Solve for x
    x = 1,833,003.80/1,530.84
  6. Step 6: Final answer
    x = 1,197.38

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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.