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Finding the Fourth Proportional to 1,399.72, 1,934.12 and 1,006.06

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Solution

The fourth proportional to 1,399.72, 1,934.12 and 1,006.06 is: 1,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.72 : 1,934.12 = 1,006.06 : x
  2. Step 2: Convert to fraction form
    1,399.72/1,934.12 = 1,006.06/x
  3. Step 3: Cross multiply
    1,399.72x = 1,934.12 × 1,006.06
  4. Step 4: Simplify right side
    1,399.72x = 1,945,840.77
  5. Step 5: Solve for x
    x = 1,945,840.77/1,399.72
  6. Step 6: Final answer
    x = 1,390.16

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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.