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Finding the Fourth Proportional to 3,130.77, 4,697.99 and 1,157.79

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Solution

The fourth proportional to 3,130.77, 4,697.99 and 1,157.79 is: 1,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.77 : 4,697.99 = 1,157.79 : x
  2. Step 2: Convert to fraction form
    3,130.77/4,697.99 = 1,157.79/x
  3. Step 3: Cross multiply
    3,130.77x = 4,697.99 × 1,157.79
  4. Step 4: Simplify right side
    3,130.77x = 5,439,270.65
  5. Step 5: Solve for x
    x = 5,439,270.65/3,130.77
  6. Step 6: Final answer
    x = 1,737.36

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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.