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Finding the Fourth Proportional to 1,853.88, 2,558.78 and 1,224.53

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Solution

The fourth proportional to 1,853.88, 2,558.78 and 1,224.53 is: 1,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.88 : 2,558.78 = 1,224.53 : x
  2. Step 2: Convert to fraction form
    1,853.88/2,558.78 = 1,224.53/x
  3. Step 3: Cross multiply
    1,853.88x = 2,558.78 × 1,224.53
  4. Step 4: Simplify right side
    1,853.88x = 3,133,302.87
  5. Step 5: Solve for x
    x = 3,133,302.87/1,853.88
  6. Step 6: Final answer
    x = 1,690.13

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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.