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Finding the Fourth Proportional to 2,209.58, 3,290.15 and 2,130.74

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Solution

The fourth proportional to 2,209.58, 3,290.15 and 2,130.74 is: 3,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.58 : 3,290.15 = 2,130.74 : x
  2. Step 2: Convert to fraction form
    2,209.58/3,290.15 = 2,130.74/x
  3. Step 3: Cross multiply
    2,209.58x = 3,290.15 × 2,130.74
  4. Step 4: Simplify right side
    2,209.58x = 7,010,454.21
  5. Step 5: Solve for x
    x = 7,010,454.21/2,209.58
  6. Step 6: Final answer
    x = 3,172.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.