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Finding the Fourth Proportional to 1,851.26, 2,775.06 and 1,029.11

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Solution

The fourth proportional to 1,851.26, 2,775.06 and 1,029.11 is: 1,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.26 : 2,775.06 = 1,029.11 : x
  2. Step 2: Convert to fraction form
    1,851.26/2,775.06 = 1,029.11/x
  3. Step 3: Cross multiply
    1,851.26x = 2,775.06 × 1,029.11
  4. Step 4: Simplify right side
    1,851.26x = 2,855,828.12
  5. Step 5: Solve for x
    x = 2,855,828.12/1,851.26
  6. Step 6: Final answer
    x = 1,542.64

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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.