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Finding the Fourth Proportional to 1,577.57, 2,365.56 and 919.66

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Solution

The fourth proportional to 1,577.57, 2,365.56 and 919.66 is: 1,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.57 : 2,365.56 = 919.66 : x
  2. Step 2: Convert to fraction form
    1,577.57/2,365.56 = 919.66/x
  3. Step 3: Cross multiply
    1,577.57x = 2,365.56 × 919.66
  4. Step 4: Simplify right side
    1,577.57x = 2,175,505.00
  5. Step 5: Solve for x
    x = 2,175,505.00/1,577.57
  6. Step 6: Final answer
    x = 1,379.02

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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.