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Finding the Fourth Proportional to 3,404.16, 4,698.18 and 2,007

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Solution

The fourth proportional to 3,404.16, 4,698.18 and 2,007 is: 2,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.16 : 4,698.18 = 2,007 : x
  2. Step 2: Convert to fraction form
    3,404.16/4,698.18 = 2,007/x
  3. Step 3: Cross multiply
    3,404.16x = 4,698.18 × 2,007
  4. Step 4: Simplify right side
    3,404.16x = 9,429,247.26
  5. Step 5: Solve for x
    x = 9,429,247.26/3,404.16
  6. Step 6: Final answer
    x = 2,769.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.