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Finding the Fourth Proportional to 2,590.46, 3,574.71 and 1,411.46

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Solution

The fourth proportional to 2,590.46, 3,574.71 and 1,411.46 is: 1,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.46 : 3,574.71 = 1,411.46 : x
  2. Step 2: Convert to fraction form
    2,590.46/3,574.71 = 1,411.46/x
  3. Step 3: Cross multiply
    2,590.46x = 3,574.71 × 1,411.46
  4. Step 4: Simplify right side
    2,590.46x = 5,045,560.18
  5. Step 5: Solve for x
    x = 5,045,560.18/2,590.46
  6. Step 6: Final answer
    x = 1,947.75

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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.