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Finding the Fourth Proportional to 1,406.16, 1,937.76 and 1,012.44

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Solution

The fourth proportional to 1,406.16, 1,937.76 and 1,012.44 is: 1,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.16 : 1,937.76 = 1,012.44 : x
  2. Step 2: Convert to fraction form
    1,406.16/1,937.76 = 1,012.44/x
  3. Step 3: Cross multiply
    1,406.16x = 1,937.76 × 1,012.44
  4. Step 4: Simplify right side
    1,406.16x = 1,961,865.73
  5. Step 5: Solve for x
    x = 1,961,865.73/1,406.16
  6. Step 6: Final answer
    x = 1,395.19

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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.