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Finding the Fourth Proportional to 1,853.17, 2,557.73 and 1,223.73

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Solution

The fourth proportional to 1,853.17, 2,557.73 and 1,223.73 is: 1,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.17 : 2,557.73 = 1,223.73 : x
  2. Step 2: Convert to fraction form
    1,853.17/2,557.73 = 1,223.73/x
  3. Step 3: Cross multiply
    1,853.17x = 2,557.73 × 1,223.73
  4. Step 4: Simplify right side
    1,853.17x = 3,129,973.99
  5. Step 5: Solve for x
    x = 3,129,973.99/1,853.17
  6. Step 6: Final answer
    x = 1,688.99

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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.