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Finding the Fourth Proportional to 1,472.59, 2,206.82 and 1,106.95

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Solution

The fourth proportional to 1,472.59, 2,206.82 and 1,106.95 is: 1,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.59 : 2,206.82 = 1,106.95 : x
  2. Step 2: Convert to fraction form
    1,472.59/2,206.82 = 1,106.95/x
  3. Step 3: Cross multiply
    1,472.59x = 2,206.82 × 1,106.95
  4. Step 4: Simplify right side
    1,472.59x = 2,442,828.36
  5. Step 5: Solve for x
    x = 2,442,828.36/1,472.59
  6. Step 6: Final answer
    x = 1,658.87

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