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Finding the Fourth Proportional to 2,638.76, 3,641.64 and 1,590.98

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Solution

The fourth proportional to 2,638.76, 3,641.64 and 1,590.98 is: 2,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.76 : 3,641.64 = 1,590.98 : x
  2. Step 2: Convert to fraction form
    2,638.76/3,641.64 = 1,590.98/x
  3. Step 3: Cross multiply
    2,638.76x = 3,641.64 × 1,590.98
  4. Step 4: Simplify right side
    2,638.76x = 5,793,776.41
  5. Step 5: Solve for x
    x = 5,793,776.41/2,638.76
  6. Step 6: Final answer
    x = 2,195.64

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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.