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Finding the Fourth Proportional to 2,577.83, 3,866.81 and 933.93

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Solution

The fourth proportional to 2,577.83, 3,866.81 and 933.93 is: 1,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.83 : 3,866.81 = 933.93 : x
  2. Step 2: Convert to fraction form
    2,577.83/3,866.81 = 933.93/x
  3. Step 3: Cross multiply
    2,577.83x = 3,866.81 × 933.93
  4. Step 4: Simplify right side
    2,577.83x = 3,611,325.19
  5. Step 5: Solve for x
    x = 3,611,325.19/2,577.83
  6. Step 6: Final answer
    x = 1,400.92

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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.