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Finding the Fourth Proportional to 2,347.49, 3,506.24 and 2,124.78

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Solution

The fourth proportional to 2,347.49, 3,506.24 and 2,124.78 is: 3,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.49 : 3,506.24 = 2,124.78 : x
  2. Step 2: Convert to fraction form
    2,347.49/3,506.24 = 2,124.78/x
  3. Step 3: Cross multiply
    2,347.49x = 3,506.24 × 2,124.78
  4. Step 4: Simplify right side
    2,347.49x = 7,449,988.63
  5. Step 5: Solve for x
    x = 7,449,988.63/2,347.49
  6. Step 6: Final answer
    x = 3,173.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.