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Finding the Fourth Proportional to 1,511.94, 2,268.06 and 781.68

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Solution

The fourth proportional to 1,511.94, 2,268.06 and 781.68 is: 1,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.94 : 2,268.06 = 781.68 : x
  2. Step 2: Convert to fraction form
    1,511.94/2,268.06 = 781.68/x
  3. Step 3: Cross multiply
    1,511.94x = 2,268.06 × 781.68
  4. Step 4: Simplify right side
    1,511.94x = 1,772,897.14
  5. Step 5: Solve for x
    x = 1,772,897.14/1,511.94
  6. Step 6: Final answer
    x = 1,172.60

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Why These Related Problems?

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