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Finding the Fourth Proportional to 1,534.66, 2,301.92 and 914.21

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Solution

The fourth proportional to 1,534.66, 2,301.92 and 914.21 is: 1,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.66 : 2,301.92 = 914.21 : x
  2. Step 2: Convert to fraction form
    1,534.66/2,301.92 = 914.21/x
  3. Step 3: Cross multiply
    1,534.66x = 2,301.92 × 914.21
  4. Step 4: Simplify right side
    1,534.66x = 2,104,434.26
  5. Step 5: Solve for x
    x = 2,104,434.26/1,534.66
  6. Step 6: Final answer
    x = 1,371.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.