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Finding the Fourth Proportional to 2,566.53, 3,849.77 and 618.72

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Solution

The fourth proportional to 2,566.53, 3,849.77 and 618.72 is: 928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.53 : 3,849.77 = 618.72 : x
  2. Step 2: Convert to fraction form
    2,566.53/3,849.77 = 618.72/x
  3. Step 3: Cross multiply
    2,566.53x = 3,849.77 × 618.72
  4. Step 4: Simplify right side
    2,566.53x = 2,381,926.60
  5. Step 5: Solve for x
    x = 2,381,926.60/2,566.53
  6. Step 6: Final answer
    x = 928.07

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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.