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Finding the Fourth Proportional to 1,953.56, 2,695.86 and 1,069.32

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Solution

The fourth proportional to 1,953.56, 2,695.86 and 1,069.32 is: 1,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.56 : 2,695.86 = 1,069.32 : x
  2. Step 2: Convert to fraction form
    1,953.56/2,695.86 = 1,069.32/x
  3. Step 3: Cross multiply
    1,953.56x = 2,695.86 × 1,069.32
  4. Step 4: Simplify right side
    1,953.56x = 2,882,737.02
  5. Step 5: Solve for x
    x = 2,882,737.02/1,953.56
  6. Step 6: Final answer
    x = 1,475.63

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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.