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Finding the Fourth Proportional to 2,444.35, 3,664.36 and 962.51

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Solution

The fourth proportional to 2,444.35, 3,664.36 and 962.51 is: 1,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.35 : 3,664.36 = 962.51 : x
  2. Step 2: Convert to fraction form
    2,444.35/3,664.36 = 962.51/x
  3. Step 3: Cross multiply
    2,444.35x = 3,664.36 × 962.51
  4. Step 4: Simplify right side
    2,444.35x = 3,526,979.04
  5. Step 5: Solve for x
    x = 3,526,979.04/2,444.35
  6. Step 6: Final answer
    x = 1,442.91

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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.