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Finding the Fourth Proportional to 2,410.94, 3,613.76 and 1,577.66

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Solution

The fourth proportional to 2,410.94, 3,613.76 and 1,577.66 is: 2,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.94 : 3,613.76 = 1,577.66 : x
  2. Step 2: Convert to fraction form
    2,410.94/3,613.76 = 1,577.66/x
  3. Step 3: Cross multiply
    2,410.94x = 3,613.76 × 1,577.66
  4. Step 4: Simplify right side
    2,410.94x = 5,701,258.64
  5. Step 5: Solve for x
    x = 5,701,258.64/2,410.94
  6. Step 6: Final answer
    x = 2,364.75

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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.