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Finding the Fourth Proportional to 1,530.66, 2,112.23 and 867.52

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Solution

The fourth proportional to 1,530.66, 2,112.23 and 867.52 is: 1,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.66 : 2,112.23 = 867.52 : x
  2. Step 2: Convert to fraction form
    1,530.66/2,112.23 = 867.52/x
  3. Step 3: Cross multiply
    1,530.66x = 2,112.23 × 867.52
  4. Step 4: Simplify right side
    1,530.66x = 1,832,401.77
  5. Step 5: Solve for x
    x = 1,832,401.77/1,530.66
  6. Step 6: Final answer
    x = 1,197.13

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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.