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Finding the Fourth Proportional to 1,869.48, 2,578.68 and 1,427.22

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Solution

The fourth proportional to 1,869.48, 2,578.68 and 1,427.22 is: 1,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.48 : 2,578.68 = 1,427.22 : x
  2. Step 2: Convert to fraction form
    1,869.48/2,578.68 = 1,427.22/x
  3. Step 3: Cross multiply
    1,869.48x = 2,578.68 × 1,427.22
  4. Step 4: Simplify right side
    1,869.48x = 3,680,343.67
  5. Step 5: Solve for x
    x = 3,680,343.67/1,869.48
  6. Step 6: Final answer
    x = 1,968.65

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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.