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Finding the Fourth Proportional to 2,590.34, 3,574.64 and 1,411.41

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Solution

The fourth proportional to 2,590.34, 3,574.64 and 1,411.41 is: 1,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.34 : 3,574.64 = 1,411.41 : x
  2. Step 2: Convert to fraction form
    2,590.34/3,574.64 = 1,411.41/x
  3. Step 3: Cross multiply
    2,590.34x = 3,574.64 × 1,411.41
  4. Step 4: Simplify right side
    2,590.34x = 5,045,282.64
  5. Step 5: Solve for x
    x = 5,045,282.64/2,590.34
  6. Step 6: Final answer
    x = 1,947.73

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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.