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Finding the Fourth Proportional to 2,590.34, 3,574.80 and 1,471.25

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Solution

The fourth proportional to 2,590.34, 3,574.80 and 1,471.25 is: 2,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.34 : 3,574.80 = 1,471.25 : x
  2. Step 2: Convert to fraction form
    2,590.34/3,574.80 = 1,471.25/x
  3. Step 3: Cross multiply
    2,590.34x = 3,574.80 × 1,471.25
  4. Step 4: Simplify right side
    2,590.34x = 5,259,433.44
  5. Step 5: Solve for x
    x = 5,259,433.44/2,590.34
  6. Step 6: Final answer
    x = 2,030.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.