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Finding the Fourth Proportional to 2,801.40, 4,199.37 and 1,045.12

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Solution

The fourth proportional to 2,801.40, 4,199.37 and 1,045.12 is: 1,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.40 : 4,199.37 = 1,045.12 : x
  2. Step 2: Convert to fraction form
    2,801.40/4,199.37 = 1,045.12/x
  3. Step 3: Cross multiply
    2,801.40x = 4,199.37 × 1,045.12
  4. Step 4: Simplify right side
    2,801.40x = 4,388,845.57
  5. Step 5: Solve for x
    x = 4,388,845.57/2,801.40
  6. Step 6: Final answer
    x = 1,566.66

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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.