Home / 1,511.13-2,267.36-781.23

Finding the Fourth Proportional to 1,511.13, 2,267.36 and 781.23

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Solution

The fourth proportional to 1,511.13, 2,267.36 and 781.23 is: 1,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.13 : 2,267.36 = 781.23 : x
  2. Step 2: Convert to fraction form
    1,511.13/2,267.36 = 781.23/x
  3. Step 3: Cross multiply
    1,511.13x = 2,267.36 × 781.23
  4. Step 4: Simplify right side
    1,511.13x = 1,771,325.75
  5. Step 5: Solve for x
    x = 1,771,325.75/1,511.13
  6. Step 6: Final answer
    x = 1,172.19

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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.