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Finding the Fourth Proportional to 1,675.99, 2,311.71 and 1,151.11

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Solution

The fourth proportional to 1,675.99, 2,311.71 and 1,151.11 is: 1,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.99 : 2,311.71 = 1,151.11 : x
  2. Step 2: Convert to fraction form
    1,675.99/2,311.71 = 1,151.11/x
  3. Step 3: Cross multiply
    1,675.99x = 2,311.71 × 1,151.11
  4. Step 4: Simplify right side
    1,675.99x = 2,661,032.50
  5. Step 5: Solve for x
    x = 2,661,032.50/1,675.99
  6. Step 6: Final answer
    x = 1,587.74

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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.