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Finding the Fourth Proportional to 1,477.09, 2,211.99 and 927.61

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Solution

The fourth proportional to 1,477.09, 2,211.99 and 927.61 is: 1,389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.09 : 2,211.99 = 927.61 : x
  2. Step 2: Convert to fraction form
    1,477.09/2,211.99 = 927.61/x
  3. Step 3: Cross multiply
    1,477.09x = 2,211.99 × 927.61
  4. Step 4: Simplify right side
    1,477.09x = 2,051,864.04
  5. Step 5: Solve for x
    x = 2,051,864.04/1,477.09
  6. Step 6: Final answer
    x = 1,389.13

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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.