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Finding the Fourth Proportional to 2,362.03, 3,262.32 and 1,574.71

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Solution

The fourth proportional to 2,362.03, 3,262.32 and 1,574.71 is: 2,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.03 : 3,262.32 = 1,574.71 : x
  2. Step 2: Convert to fraction form
    2,362.03/3,262.32 = 1,574.71/x
  3. Step 3: Cross multiply
    2,362.03x = 3,262.32 × 1,574.71
  4. Step 4: Simplify right side
    2,362.03x = 5,137,207.93
  5. Step 5: Solve for x
    x = 5,137,207.93/2,362.03
  6. Step 6: Final answer
    x = 2,174.91

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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.