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Finding the Fourth Proportional to 3,292.96, 4,941.60 and 1,561.72

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Solution

The fourth proportional to 3,292.96, 4,941.60 and 1,561.72 is: 2,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.96 : 4,941.60 = 1,561.72 : x
  2. Step 2: Convert to fraction form
    3,292.96/4,941.60 = 1,561.72/x
  3. Step 3: Cross multiply
    3,292.96x = 4,941.60 × 1,561.72
  4. Step 4: Simplify right side
    3,292.96x = 7,717,395.55
  5. Step 5: Solve for x
    x = 7,717,395.55/3,292.96
  6. Step 6: Final answer
    x = 2,343.60

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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.