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Finding the Fourth Proportional to 1,871.44, 2,582.48 and 1,125.23

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Solution

The fourth proportional to 1,871.44, 2,582.48 and 1,125.23 is: 1,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.44 : 2,582.48 = 1,125.23 : x
  2. Step 2: Convert to fraction form
    1,871.44/2,582.48 = 1,125.23/x
  3. Step 3: Cross multiply
    1,871.44x = 2,582.48 × 1,125.23
  4. Step 4: Simplify right side
    1,871.44x = 2,905,873.87
  5. Step 5: Solve for x
    x = 2,905,873.87/1,871.44
  6. Step 6: Final answer
    x = 1,552.75

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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.