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Finding the Fourth Proportional to 2,465.66, 3,698.49 and 1,004.42

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Solution

The fourth proportional to 2,465.66, 3,698.49 and 1,004.42 is: 1,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.66 : 3,698.49 = 1,004.42 : x
  2. Step 2: Convert to fraction form
    2,465.66/3,698.49 = 1,004.42/x
  3. Step 3: Cross multiply
    2,465.66x = 3,698.49 × 1,004.42
  4. Step 4: Simplify right side
    2,465.66x = 3,714,837.33
  5. Step 5: Solve for x
    x = 3,714,837.33/2,465.66
  6. Step 6: Final answer
    x = 1,506.63

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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.