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Finding the Fourth Proportional to 1,647.53, 2,461.62 and 1,590.11

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Solution

The fourth proportional to 1,647.53, 2,461.62 and 1,590.11 is: 2,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.53 : 2,461.62 = 1,590.11 : x
  2. Step 2: Convert to fraction form
    1,647.53/2,461.62 = 1,590.11/x
  3. Step 3: Cross multiply
    1,647.53x = 2,461.62 × 1,590.11
  4. Step 4: Simplify right side
    1,647.53x = 3,914,246.58
  5. Step 5: Solve for x
    x = 3,914,246.58/1,647.53
  6. Step 6: Final answer
    x = 2,375.83

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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.