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Finding the Fourth Proportional to 2,065.01, 2,849.95 and 1,180.98

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Solution

The fourth proportional to 2,065.01, 2,849.95 and 1,180.98 is: 1,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.01 : 2,849.95 = 1,180.98 : x
  2. Step 2: Convert to fraction form
    2,065.01/2,849.95 = 1,180.98/x
  3. Step 3: Cross multiply
    2,065.01x = 2,849.95 × 1,180.98
  4. Step 4: Simplify right side
    2,065.01x = 3,365,733.95
  5. Step 5: Solve for x
    x = 3,365,733.95/2,065.01
  6. Step 6: Final answer
    x = 1,629.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.