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Finding the Fourth Proportional to 1,703.44, 2,552.74 and 1,311.96

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Solution

The fourth proportional to 1,703.44, 2,552.74 and 1,311.96 is: 1,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.44 : 2,552.74 = 1,311.96 : x
  2. Step 2: Convert to fraction form
    1,703.44/2,552.74 = 1,311.96/x
  3. Step 3: Cross multiply
    1,703.44x = 2,552.74 × 1,311.96
  4. Step 4: Simplify right side
    1,703.44x = 3,349,092.77
  5. Step 5: Solve for x
    x = 3,349,092.77/1,703.44
  6. Step 6: Final answer
    x = 1,966.08

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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.