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Finding the Fourth Proportional to 2,590.59, 3,574.88 and 1,471.38

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Solution

The fourth proportional to 2,590.59, 3,574.88 and 1,471.38 is: 2,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.59 : 3,574.88 = 1,471.38 : x
  2. Step 2: Convert to fraction form
    2,590.59/3,574.88 = 1,471.38/x
  3. Step 3: Cross multiply
    2,590.59x = 3,574.88 × 1,471.38
  4. Step 4: Simplify right side
    2,590.59x = 5,260,020.07
  5. Step 5: Solve for x
    x = 5,260,020.07/2,590.59
  6. Step 6: Final answer
    x = 2,030.43

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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.