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Finding the Fourth Proportional to 3,001.11, 4,501.62 and 810.06

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Solution

The fourth proportional to 3,001.11, 4,501.62 and 810.06 is: 1,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.11 : 4,501.62 = 810.06 : x
  2. Step 2: Convert to fraction form
    3,001.11/4,501.62 = 810.06/x
  3. Step 3: Cross multiply
    3,001.11x = 4,501.62 × 810.06
  4. Step 4: Simplify right side
    3,001.11x = 3,646,582.30
  5. Step 5: Solve for x
    x = 3,646,582.30/3,001.11
  6. Step 6: Final answer
    x = 1,215.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.