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Finding the Fourth Proportional to 1,851.98, 2,771.01 and 1,030.85

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Solution

The fourth proportional to 1,851.98, 2,771.01 and 1,030.85 is: 1,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.98 : 2,771.01 = 1,030.85 : x
  2. Step 2: Convert to fraction form
    1,851.98/2,771.01 = 1,030.85/x
  3. Step 3: Cross multiply
    1,851.98x = 2,771.01 × 1,030.85
  4. Step 4: Simplify right side
    1,851.98x = 2,856,495.66
  5. Step 5: Solve for x
    x = 2,856,495.66/1,851.98
  6. Step 6: Final answer
    x = 1,542.40

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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.