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Finding the Fourth Proportional to 1,574.37, 2,167.36 and 1,180.71

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Solution

The fourth proportional to 1,574.37, 2,167.36 and 1,180.71 is: 1,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.37 : 2,167.36 = 1,180.71 : x
  2. Step 2: Convert to fraction form
    1,574.37/2,167.36 = 1,180.71/x
  3. Step 3: Cross multiply
    1,574.37x = 2,167.36 × 1,180.71
  4. Step 4: Simplify right side
    1,574.37x = 2,559,020.67
  5. Step 5: Solve for x
    x = 2,559,020.67/1,574.37
  6. Step 6: Final answer
    x = 1,625.43

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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.