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Finding the Fourth Proportional to 1,827.51, 2,523.71 and 1,269.42

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Solution

The fourth proportional to 1,827.51, 2,523.71 and 1,269.42 is: 1,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.51 : 2,523.71 = 1,269.42 : x
  2. Step 2: Convert to fraction form
    1,827.51/2,523.71 = 1,269.42/x
  3. Step 3: Cross multiply
    1,827.51x = 2,523.71 × 1,269.42
  4. Step 4: Simplify right side
    1,827.51x = 3,203,647.95
  5. Step 5: Solve for x
    x = 3,203,647.95/1,827.51
  6. Step 6: Final answer
    x = 1,753.01

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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.