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Finding the Fourth Proportional to 2,764.64, 4,146.93 and 712.64

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Solution

The fourth proportional to 2,764.64, 4,146.93 and 712.64 is: 1,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.64 : 4,146.93 = 712.64 : x
  2. Step 2: Convert to fraction form
    2,764.64/4,146.93 = 712.64/x
  3. Step 3: Cross multiply
    2,764.64x = 4,146.93 × 712.64
  4. Step 4: Simplify right side
    2,764.64x = 2,955,268.20
  5. Step 5: Solve for x
    x = 2,955,268.20/2,764.64
  6. Step 6: Final answer
    x = 1,068.95

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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.