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Finding the Fourth Proportional to 2,645.03, 3,647.62 and 1,582.62

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Solution

The fourth proportional to 2,645.03, 3,647.62 and 1,582.62 is: 2,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.03 : 3,647.62 = 1,582.62 : x
  2. Step 2: Convert to fraction form
    2,645.03/3,647.62 = 1,582.62/x
  3. Step 3: Cross multiply
    2,645.03x = 3,647.62 × 1,582.62
  4. Step 4: Simplify right side
    2,645.03x = 5,772,810.65
  5. Step 5: Solve for x
    x = 5,772,810.65/2,645.03
  6. Step 6: Final answer
    x = 2,182.51

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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.