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Finding the Fourth Proportional to 1,574.57, 2,371.22 and 1,371.59

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Solution

The fourth proportional to 1,574.57, 2,371.22 and 1,371.59 is: 2,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.57 : 2,371.22 = 1,371.59 : x
  2. Step 2: Convert to fraction form
    1,574.57/2,371.22 = 1,371.59/x
  3. Step 3: Cross multiply
    1,574.57x = 2,371.22 × 1,371.59
  4. Step 4: Simplify right side
    1,574.57x = 3,252,341.64
  5. Step 5: Solve for x
    x = 3,252,341.64/1,574.57
  6. Step 6: Final answer
    x = 2,065.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.