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Finding the Fourth Proportional to 2,276.66, 3,415.04 and 716.64

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Solution

The fourth proportional to 2,276.66, 3,415.04 and 716.64 is: 1,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.66 : 3,415.04 = 716.64 : x
  2. Step 2: Convert to fraction form
    2,276.66/3,415.04 = 716.64/x
  3. Step 3: Cross multiply
    2,276.66x = 3,415.04 × 716.64
  4. Step 4: Simplify right side
    2,276.66x = 2,447,354.27
  5. Step 5: Solve for x
    x = 2,447,354.27/2,276.66
  6. Step 6: Final answer
    x = 1,074.98

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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.