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Finding the Fourth Proportional to 2,124.84, 2,932.44 and 1,193.40

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Solution

The fourth proportional to 2,124.84, 2,932.44 and 1,193.40 is: 1,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.84 : 2,932.44 = 1,193.40 : x
  2. Step 2: Convert to fraction form
    2,124.84/2,932.44 = 1,193.40/x
  3. Step 3: Cross multiply
    2,124.84x = 2,932.44 × 1,193.40
  4. Step 4: Simplify right side
    2,124.84x = 3,499,573.90
  5. Step 5: Solve for x
    x = 3,499,573.90/2,124.84
  6. Step 6: Final answer
    x = 1,646.98

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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.