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Finding the Fourth Proportional to 1,953.46, 2,695.68 and 1,069.24

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Solution

The fourth proportional to 1,953.46, 2,695.68 and 1,069.24 is: 1,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.46 : 2,695.68 = 1,069.24 : x
  2. Step 2: Convert to fraction form
    1,953.46/2,695.68 = 1,069.24/x
  3. Step 3: Cross multiply
    1,953.46x = 2,695.68 × 1,069.24
  4. Step 4: Simplify right side
    1,953.46x = 2,882,328.88
  5. Step 5: Solve for x
    x = 2,882,328.88/1,953.46
  6. Step 6: Final answer
    x = 1,475.50

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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.