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Finding the Fourth Proportional to 1,530.91, 2,112.42 and 867.58

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Solution

The fourth proportional to 1,530.91, 2,112.42 and 867.58 is: 1,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.91 : 2,112.42 = 867.58 : x
  2. Step 2: Convert to fraction form
    1,530.91/2,112.42 = 867.58/x
  3. Step 3: Cross multiply
    1,530.91x = 2,112.42 × 867.58
  4. Step 4: Simplify right side
    1,530.91x = 1,832,693.34
  5. Step 5: Solve for x
    x = 1,832,693.34/1,530.91
  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.