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Finding the Fourth Proportional to 1,741.64, 2,613.06 and 767.82

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Solution

The fourth proportional to 1,741.64, 2,613.06 and 767.82 is: 1,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.64 : 2,613.06 = 767.82 : x
  2. Step 2: Convert to fraction form
    1,741.64/2,613.06 = 767.82/x
  3. Step 3: Cross multiply
    1,741.64x = 2,613.06 × 767.82
  4. Step 4: Simplify right side
    1,741.64x = 2,006,359.73
  5. Step 5: Solve for x
    x = 2,006,359.73/1,741.64
  6. Step 6: Final answer
    x = 1,152.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.