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Finding the Fourth Proportional to 2,590.39, 3,574.82 and 1,411.55

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Solution

The fourth proportional to 2,590.39, 3,574.82 and 1,411.55 is: 1,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.39 : 3,574.82 = 1,411.55 : x
  2. Step 2: Convert to fraction form
    2,590.39/3,574.82 = 1,411.55/x
  3. Step 3: Cross multiply
    2,590.39x = 3,574.82 × 1,411.55
  4. Step 4: Simplify right side
    2,590.39x = 5,046,012.24
  5. Step 5: Solve for x
    x = 5,046,012.24/2,590.39
  6. Step 6: Final answer
    x = 1,947.98

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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.