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Finding the Fourth Proportional to 2,124.45, 2,932.80 and 1,328.21

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Solution

The fourth proportional to 2,124.45, 2,932.80 and 1,328.21 is: 1,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.45 : 2,932.80 = 1,328.21 : x
  2. Step 2: Convert to fraction form
    2,124.45/2,932.80 = 1,328.21/x
  3. Step 3: Cross multiply
    2,124.45x = 2,932.80 × 1,328.21
  4. Step 4: Simplify right side
    2,124.45x = 3,895,381.62
  5. Step 5: Solve for x
    x = 3,895,381.62/2,124.45
  6. Step 6: Final answer
    x = 1,833.60

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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.