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Finding the Fourth Proportional to 2,909.96, 4,364.87 and 718.64

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Solution

The fourth proportional to 2,909.96, 4,364.87 and 718.64 is: 1,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.96 : 4,364.87 = 718.64 : x
  2. Step 2: Convert to fraction form
    2,909.96/4,364.87 = 718.64/x
  3. Step 3: Cross multiply
    2,909.96x = 4,364.87 × 718.64
  4. Step 4: Simplify right side
    2,909.96x = 3,136,744.76
  5. Step 5: Solve for x
    x = 3,136,744.76/2,909.96
  6. Step 6: Final answer
    x = 1,077.94

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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.