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Finding the Fourth Proportional to 2,927.72, 4,041.57 and 1,866.90

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Solution

The fourth proportional to 2,927.72, 4,041.57 and 1,866.90 is: 2,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.72 : 4,041.57 = 1,866.90 : x
  2. Step 2: Convert to fraction form
    2,927.72/4,041.57 = 1,866.90/x
  3. Step 3: Cross multiply
    2,927.72x = 4,041.57 × 1,866.90
  4. Step 4: Simplify right side
    2,927.72x = 7,545,215.19
  5. Step 5: Solve for x
    x = 7,545,215.19/2,927.72
  6. Step 6: Final answer
    x = 2,577.17

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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.