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Finding the Fourth Proportional to 1,530.82, 2,111.79 and 941.14

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Solution

The fourth proportional to 1,530.82, 2,111.79 and 941.14 is: 1,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.82 : 2,111.79 = 941.14 : x
  2. Step 2: Convert to fraction form
    1,530.82/2,111.79 = 941.14/x
  3. Step 3: Cross multiply
    1,530.82x = 2,111.79 × 941.14
  4. Step 4: Simplify right side
    1,530.82x = 1,987,479.04
  5. Step 5: Solve for x
    x = 1,987,479.04/1,530.82
  6. Step 6: Final answer
    x = 1,298.31

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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.