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Finding the Fourth Proportional to 2,590.37, 3,574.14 and 1,471.22

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Solution

The fourth proportional to 2,590.37, 3,574.14 and 1,471.22 is: 2,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.37 : 3,574.14 = 1,471.22 : x
  2. Step 2: Convert to fraction form
    2,590.37/3,574.14 = 1,471.22/x
  3. Step 3: Cross multiply
    2,590.37x = 3,574.14 × 1,471.22
  4. Step 4: Simplify right side
    2,590.37x = 5,258,346.25
  5. Step 5: Solve for x
    x = 5,258,346.25/2,590.37
  6. Step 6: Final answer
    x = 2,029.96

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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.