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Finding the Fourth Proportional to 1,853.15, 2,559.24 and 1,695.20

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Solution

The fourth proportional to 1,853.15, 2,559.24 and 1,695.20 is: 2,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.15 : 2,559.24 = 1,695.20 : x
  2. Step 2: Convert to fraction form
    1,853.15/2,559.24 = 1,695.20/x
  3. Step 3: Cross multiply
    1,853.15x = 2,559.24 × 1,695.20
  4. Step 4: Simplify right side
    1,853.15x = 4,338,410.85
  5. Step 5: Solve for x
    x = 4,338,410.85/1,853.15
  6. Step 6: Final answer
    x = 2,341.11

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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.