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Finding the Fourth Proportional to 1,647.65, 2,461.82 and 1,590.23

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Solution

The fourth proportional to 1,647.65, 2,461.82 and 1,590.23 is: 2,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.65 : 2,461.82 = 1,590.23 : x
  2. Step 2: Convert to fraction form
    1,647.65/2,461.82 = 1,590.23/x
  3. Step 3: Cross multiply
    1,647.65x = 2,461.82 × 1,590.23
  4. Step 4: Simplify right side
    1,647.65x = 3,914,858.22
  5. Step 5: Solve for x
    x = 3,914,858.22/1,647.65
  6. Step 6: Final answer
    x = 2,376.02

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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.