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Finding the Fourth Proportional to 2,953.35, 4,428.69 and 872.63

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Solution

The fourth proportional to 2,953.35, 4,428.69 and 872.63 is: 1,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.35 : 4,428.69 = 872.63 : x
  2. Step 2: Convert to fraction form
    2,953.35/4,428.69 = 872.63/x
  3. Step 3: Cross multiply
    2,953.35x = 4,428.69 × 872.63
  4. Step 4: Simplify right side
    2,953.35x = 3,864,607.75
  5. Step 5: Solve for x
    x = 3,864,607.75/2,953.35
  6. Step 6: Final answer
    x = 1,308.55

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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.