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Finding the Fourth Proportional to 1,704.09, 2,565.57 and 1,335.84

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Solution

The fourth proportional to 1,704.09, 2,565.57 and 1,335.84 is: 2,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.09 : 2,565.57 = 1,335.84 : x
  2. Step 2: Convert to fraction form
    1,704.09/2,565.57 = 1,335.84/x
  3. Step 3: Cross multiply
    1,704.09x = 2,565.57 × 1,335.84
  4. Step 4: Simplify right side
    1,704.09x = 3,427,200.85
  5. Step 5: Solve for x
    x = 3,427,200.85/1,704.09
  6. Step 6: Final answer
    x = 2,011.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.