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Finding the Fourth Proportional to 1,406.04, 1,955.83 and 1,379.31

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Solution

The fourth proportional to 1,406.04, 1,955.83 and 1,379.31 is: 1,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.04 : 1,955.83 = 1,379.31 : x
  2. Step 2: Convert to fraction form
    1,406.04/1,955.83 = 1,379.31/x
  3. Step 3: Cross multiply
    1,406.04x = 1,955.83 × 1,379.31
  4. Step 4: Simplify right side
    1,406.04x = 2,697,686.10
  5. Step 5: Solve for x
    x = 2,697,686.10/1,406.04
  6. Step 6: Final answer
    x = 1,918.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.