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Finding the Fourth Proportional to 2,468.44, 3,703.62 and 929.08

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Solution

The fourth proportional to 2,468.44, 3,703.62 and 929.08 is: 1,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.44 : 3,703.62 = 929.08 : x
  2. Step 2: Convert to fraction form
    2,468.44/3,703.62 = 929.08/x
  3. Step 3: Cross multiply
    2,468.44x = 3,703.62 × 929.08
  4. Step 4: Simplify right side
    2,468.44x = 3,440,959.27
  5. Step 5: Solve for x
    x = 3,440,959.27/2,468.44
  6. Step 6: Final answer
    x = 1,393.98

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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.