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Finding the Fourth Proportional to 1,929.95, 2,662.62 and 1,267.17

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Solution

The fourth proportional to 1,929.95, 2,662.62 and 1,267.17 is: 1,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.95 : 2,662.62 = 1,267.17 : x
  2. Step 2: Convert to fraction form
    1,929.95/2,662.62 = 1,267.17/x
  3. Step 3: Cross multiply
    1,929.95x = 2,662.62 × 1,267.17
  4. Step 4: Simplify right side
    1,929.95x = 3,373,992.19
  5. Step 5: Solve for x
    x = 3,373,992.19/1,929.95
  6. Step 6: Final answer
    x = 1,748.23

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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.