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Finding the Fourth Proportional to 3,116.69, 4,675.04 and 925.41

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Solution

The fourth proportional to 3,116.69, 4,675.04 and 925.41 is: 1,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.69 : 4,675.04 = 925.41 : x
  2. Step 2: Convert to fraction form
    3,116.69/4,675.04 = 925.41/x
  3. Step 3: Cross multiply
    3,116.69x = 4,675.04 × 925.41
  4. Step 4: Simplify right side
    3,116.69x = 4,326,328.77
  5. Step 5: Solve for x
    x = 4,326,328.77/3,116.69
  6. Step 6: Final answer
    x = 1,388.12

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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.