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Finding the Fourth Proportional to 1,932.79, 2,666.16 and 1,224.42

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Solution

The fourth proportional to 1,932.79, 2,666.16 and 1,224.42 is: 1,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.79 : 2,666.16 = 1,224.42 : x
  2. Step 2: Convert to fraction form
    1,932.79/2,666.16 = 1,224.42/x
  3. Step 3: Cross multiply
    1,932.79x = 2,666.16 × 1,224.42
  4. Step 4: Simplify right side
    1,932.79x = 3,264,499.63
  5. Step 5: Solve for x
    x = 3,264,499.63/1,932.79
  6. Step 6: Final answer
    x = 1,689.01

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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.