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Finding the Fourth Proportional to 1,923.25, 2,885.11 and 753.10

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Solution

The fourth proportional to 1,923.25, 2,885.11 and 753.10 is: 1,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.25 : 2,885.11 = 753.10 : x
  2. Step 2: Convert to fraction form
    1,923.25/2,885.11 = 753.10/x
  3. Step 3: Cross multiply
    1,923.25x = 2,885.11 × 753.10
  4. Step 4: Simplify right side
    1,923.25x = 2,172,758.15
  5. Step 5: Solve for x
    x = 2,172,758.15/1,923.25
  6. Step 6: Final answer
    x = 1,129.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.