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Finding the Fourth Proportional to 1,854.05, 2,557.86 and 1,190.80

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Solution

The fourth proportional to 1,854.05, 2,557.86 and 1,190.80 is: 1,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.05 : 2,557.86 = 1,190.80 : x
  2. Step 2: Convert to fraction form
    1,854.05/2,557.86 = 1,190.80/x
  3. Step 3: Cross multiply
    1,854.05x = 2,557.86 × 1,190.80
  4. Step 4: Simplify right side
    1,854.05x = 3,045,899.69
  5. Step 5: Solve for x
    x = 3,045,899.69/1,854.05
  6. Step 6: Final answer
    x = 1,642.84

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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.