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Finding the Fourth Proportional to 1,953.58, 2,695.80 and 1,069.20

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Solution

The fourth proportional to 1,953.58, 2,695.80 and 1,069.20 is: 1,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.58 : 2,695.80 = 1,069.20 : x
  2. Step 2: Convert to fraction form
    1,953.58/2,695.80 = 1,069.20/x
  3. Step 3: Cross multiply
    1,953.58x = 2,695.80 × 1,069.20
  4. Step 4: Simplify right side
    1,953.58x = 2,882,349.36
  5. Step 5: Solve for x
    x = 2,882,349.36/1,953.58
  6. Step 6: Final answer
    x = 1,475.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.