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Finding the Fourth Proportional to 2,130.88, 3,193.82 and 813.77

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Solution

The fourth proportional to 2,130.88, 3,193.82 and 813.77 is: 1,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.88 : 3,193.82 = 813.77 : x
  2. Step 2: Convert to fraction form
    2,130.88/3,193.82 = 813.77/x
  3. Step 3: Cross multiply
    2,130.88x = 3,193.82 × 813.77
  4. Step 4: Simplify right side
    2,130.88x = 2,599,018.93
  5. Step 5: Solve for x
    x = 2,599,018.93/2,130.88
  6. Step 6: Final answer
    x = 1,219.70

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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.