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Finding the Fourth Proportional to 2,607.84, 3,911.22 and 964.35

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Solution

The fourth proportional to 2,607.84, 3,911.22 and 964.35 is: 1,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.84 : 3,911.22 = 964.35 : x
  2. Step 2: Convert to fraction form
    2,607.84/3,911.22 = 964.35/x
  3. Step 3: Cross multiply
    2,607.84x = 3,911.22 × 964.35
  4. Step 4: Simplify right side
    2,607.84x = 3,771,785.01
  5. Step 5: Solve for x
    x = 3,771,785.01/2,607.84
  6. Step 6: Final answer
    x = 1,446.33

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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.