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Finding the Fourth Proportional to 1,866.31, 2,577.32 and 1,399.75

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Solution

The fourth proportional to 1,866.31, 2,577.32 and 1,399.75 is: 1,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.31 : 2,577.32 = 1,399.75 : x
  2. Step 2: Convert to fraction form
    1,866.31/2,577.32 = 1,399.75/x
  3. Step 3: Cross multiply
    1,866.31x = 2,577.32 × 1,399.75
  4. Step 4: Simplify right side
    1,866.31x = 3,607,603.67
  5. Step 5: Solve for x
    x = 3,607,603.67/1,866.31
  6. Step 6: Final answer
    x = 1,933.01

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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.