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Finding the Fourth Proportional to 2,801.02, 4,200.09 and 1,045.95

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Solution

The fourth proportional to 2,801.02, 4,200.09 and 1,045.95 is: 1,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.02 : 4,200.09 = 1,045.95 : x
  2. Step 2: Convert to fraction form
    2,801.02/4,200.09 = 1,045.95/x
  3. Step 3: Cross multiply
    2,801.02x = 4,200.09 × 1,045.95
  4. Step 4: Simplify right side
    2,801.02x = 4,393,084.14
  5. Step 5: Solve for x
    x = 4,393,084.14/2,801.02
  6. Step 6: Final answer
    x = 1,568.39

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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.