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Finding the Fourth Proportional to 1,653.73, 2,281.90 and 990.44

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Solution

The fourth proportional to 1,653.73, 2,281.90 and 990.44 is: 1,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.73 : 2,281.90 = 990.44 : x
  2. Step 2: Convert to fraction form
    1,653.73/2,281.90 = 990.44/x
  3. Step 3: Cross multiply
    1,653.73x = 2,281.90 × 990.44
  4. Step 4: Simplify right side
    1,653.73x = 2,260,085.04
  5. Step 5: Solve for x
    x = 2,260,085.04/1,653.73
  6. Step 6: Final answer
    x = 1,366.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.