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Finding the Fourth Proportional to 2,589.81, 3,574.63 and 1,470.79

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Solution

The fourth proportional to 2,589.81, 3,574.63 and 1,470.79 is: 2,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.81 : 3,574.63 = 1,470.79 : x
  2. Step 2: Convert to fraction form
    2,589.81/3,574.63 = 1,470.79/x
  3. Step 3: Cross multiply
    2,589.81x = 3,574.63 × 1,470.79
  4. Step 4: Simplify right side
    2,589.81x = 5,257,536.36
  5. Step 5: Solve for x
    x = 5,257,536.36/2,589.81
  6. Step 6: Final answer
    x = 2,030.09

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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.