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Finding the Fourth Proportional to 1,932.63, 2,666.52 and 1,224.13

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Solution

The fourth proportional to 1,932.63, 2,666.52 and 1,224.13 is: 1,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.63 : 2,666.52 = 1,224.13 : x
  2. Step 2: Convert to fraction form
    1,932.63/2,666.52 = 1,224.13/x
  3. Step 3: Cross multiply
    1,932.63x = 2,666.52 × 1,224.13
  4. Step 4: Simplify right side
    1,932.63x = 3,264,165.46
  5. Step 5: Solve for x
    x = 3,264,165.46/1,932.63
  6. Step 6: Final answer
    x = 1,688.98

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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.