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Finding the Fourth Proportional to 1,574.93, 2,171.31 and 1,309.59

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Solution

The fourth proportional to 1,574.93, 2,171.31 and 1,309.59 is: 1,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.93 : 2,171.31 = 1,309.59 : x
  2. Step 2: Convert to fraction form
    1,574.93/2,171.31 = 1,309.59/x
  3. Step 3: Cross multiply
    1,574.93x = 2,171.31 × 1,309.59
  4. Step 4: Simplify right side
    1,574.93x = 2,843,525.86
  5. Step 5: Solve for x
    x = 2,843,525.86/1,574.93
  6. Step 6: Final answer
    x = 1,805.50

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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.