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Finding the Fourth Proportional to 3,006.93, 4,510.98 and 1,157.90

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Solution

The fourth proportional to 3,006.93, 4,510.98 and 1,157.90 is: 1,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.93 : 4,510.98 = 1,157.90 : x
  2. Step 2: Convert to fraction form
    3,006.93/4,510.98 = 1,157.90/x
  3. Step 3: Cross multiply
    3,006.93x = 4,510.98 × 1,157.90
  4. Step 4: Simplify right side
    3,006.93x = 5,223,241.19
  5. Step 5: Solve for x
    x = 5,223,241.19/3,006.93
  6. Step 6: Final answer
    x = 1,737.07

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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.