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Finding the Fourth Proportional to 2,323.47, 3,486 and 862.74

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Solution

The fourth proportional to 2,323.47, 3,486 and 862.74 is: 1,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.47 : 3,486 = 862.74 : x
  2. Step 2: Convert to fraction form
    2,323.47/3,486 = 862.74/x
  3. Step 3: Cross multiply
    2,323.47x = 3,486 × 862.74
  4. Step 4: Simplify right side
    2,323.47x = 3,007,511.64
  5. Step 5: Solve for x
    x = 3,007,511.64/2,323.47
  6. Step 6: Final answer
    x = 1,294.41

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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.