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Finding the Fourth Proportional to 1,807.64, 2,707.10 and 927.81

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Solution

The fourth proportional to 1,807.64, 2,707.10 and 927.81 is: 1,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.64 : 2,707.10 = 927.81 : x
  2. Step 2: Convert to fraction form
    1,807.64/2,707.10 = 927.81/x
  3. Step 3: Cross multiply
    1,807.64x = 2,707.10 × 927.81
  4. Step 4: Simplify right side
    1,807.64x = 2,511,669.81
  5. Step 5: Solve for x
    x = 2,511,669.81/1,807.64
  6. Step 6: Final answer
    x = 1,389.48

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Why These Related Problems?

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