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Finding the Fourth Proportional to 2,526.83, 3,790.85 and 795.45

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Solution

The fourth proportional to 2,526.83, 3,790.85 and 795.45 is: 1,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.83 : 3,790.85 = 795.45 : x
  2. Step 2: Convert to fraction form
    2,526.83/3,790.85 = 795.45/x
  3. Step 3: Cross multiply
    2,526.83x = 3,790.85 × 795.45
  4. Step 4: Simplify right side
    2,526.83x = 3,015,446.35
  5. Step 5: Solve for x
    x = 3,015,446.35/2,526.83
  6. Step 6: Final answer
    x = 1,193.37

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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.