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Finding the Fourth Proportional to 2,605.91, 3,907.04 and 962.01

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Solution

The fourth proportional to 2,605.91, 3,907.04 and 962.01 is: 1,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.91 : 3,907.04 = 962.01 : x
  2. Step 2: Convert to fraction form
    2,605.91/3,907.04 = 962.01/x
  3. Step 3: Cross multiply
    2,605.91x = 3,907.04 × 962.01
  4. Step 4: Simplify right side
    2,605.91x = 3,758,606.74
  5. Step 5: Solve for x
    x = 3,758,606.74/2,605.91
  6. Step 6: Final answer
    x = 1,442.34

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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.