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Finding the Fourth Proportional to 1,903.30, 2,854.26 and 1,170.66

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Solution

The fourth proportional to 1,903.30, 2,854.26 and 1,170.66 is: 1,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.30 : 2,854.26 = 1,170.66 : x
  2. Step 2: Convert to fraction form
    1,903.30/2,854.26 = 1,170.66/x
  3. Step 3: Cross multiply
    1,903.30x = 2,854.26 × 1,170.66
  4. Step 4: Simplify right side
    1,903.30x = 3,341,368.01
  5. Step 5: Solve for x
    x = 3,341,368.01/1,903.30
  6. Step 6: Final answer
    x = 1,755.57

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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.