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Finding the Fourth Proportional to 1,652.33, 2,280.63 and 1,122.11

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Solution

The fourth proportional to 1,652.33, 2,280.63 and 1,122.11 is: 1,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.33 : 2,280.63 = 1,122.11 : x
  2. Step 2: Convert to fraction form
    1,652.33/2,280.63 = 1,122.11/x
  3. Step 3: Cross multiply
    1,652.33x = 2,280.63 × 1,122.11
  4. Step 4: Simplify right side
    1,652.33x = 2,559,117.73
  5. Step 5: Solve for x
    x = 2,559,117.73/1,652.33
  6. Step 6: Final answer
    x = 1,548.79

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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.