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Finding the Fourth Proportional to 2,590.49, 3,574.89 and 1,411.56

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Solution

The fourth proportional to 2,590.49, 3,574.89 and 1,411.56 is: 1,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.49 : 3,574.89 = 1,411.56 : x
  2. Step 2: Convert to fraction form
    2,590.49/3,574.89 = 1,411.56/x
  3. Step 3: Cross multiply
    2,590.49x = 3,574.89 × 1,411.56
  4. Step 4: Simplify right side
    2,590.49x = 5,046,153.85
  5. Step 5: Solve for x
    x = 5,046,153.85/2,590.49
  6. Step 6: Final answer
    x = 1,947.96

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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.