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Finding the Fourth Proportional to 1,530.48, 2,112.12 and 867.40

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Solution

The fourth proportional to 1,530.48, 2,112.12 and 867.40 is: 1,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.48 : 2,112.12 = 867.40 : x
  2. Step 2: Convert to fraction form
    1,530.48/2,112.12 = 867.40/x
  3. Step 3: Cross multiply
    1,530.48x = 2,112.12 × 867.40
  4. Step 4: Simplify right side
    1,530.48x = 1,832,052.89
  5. Step 5: Solve for x
    x = 1,832,052.89/1,530.48
  6. Step 6: Final answer
    x = 1,197.04

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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.