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Finding the Fourth Proportional to 1,922.42, 2,652.94 and 1,038.23

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Solution

The fourth proportional to 1,922.42, 2,652.94 and 1,038.23 is: 1,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.42 : 2,652.94 = 1,038.23 : x
  2. Step 2: Convert to fraction form
    1,922.42/2,652.94 = 1,038.23/x
  3. Step 3: Cross multiply
    1,922.42x = 2,652.94 × 1,038.23
  4. Step 4: Simplify right side
    1,922.42x = 2,754,355.52
  5. Step 5: Solve for x
    x = 2,754,355.52/1,922.42
  6. Step 6: Final answer
    x = 1,432.75

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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.