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Finding the Fourth Proportional to 2,590.37, 3,574.77 and 1,411.46

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Solution

The fourth proportional to 2,590.37, 3,574.77 and 1,411.46 is: 1,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.37 : 3,574.77 = 1,411.46 : x
  2. Step 2: Convert to fraction form
    2,590.37/3,574.77 = 1,411.46/x
  3. Step 3: Cross multiply
    2,590.37x = 3,574.77 × 1,411.46
  4. Step 4: Simplify right side
    2,590.37x = 5,045,644.86
  5. Step 5: Solve for x
    x = 5,045,644.86/2,590.37
  6. Step 6: Final answer
    x = 1,947.85

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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.