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Finding the Fourth Proportional to 1,161.98, 1,731.58 and 1,130.30

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Solution

The fourth proportional to 1,161.98, 1,731.58 and 1,130.30 is: 1,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.98 : 1,731.58 = 1,130.30 : x
  2. Step 2: Convert to fraction form
    1,161.98/1,731.58 = 1,130.30/x
  3. Step 3: Cross multiply
    1,161.98x = 1,731.58 × 1,130.30
  4. Step 4: Simplify right side
    1,161.98x = 1,957,204.87
  5. Step 5: Solve for x
    x = 1,957,204.87/1,161.98
  6. Step 6: Final answer
    x = 1,684.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.