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Finding the Fourth Proportional to 3,126.19, 4,684.80 and 1,564.61

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Solution

The fourth proportional to 3,126.19, 4,684.80 and 1,564.61 is: 2,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.19 : 4,684.80 = 1,564.61 : x
  2. Step 2: Convert to fraction form
    3,126.19/4,684.80 = 1,564.61/x
  3. Step 3: Cross multiply
    3,126.19x = 4,684.80 × 1,564.61
  4. Step 4: Simplify right side
    3,126.19x = 7,329,861.50
  5. Step 5: Solve for x
    x = 7,329,861.50/3,126.19
  6. Step 6: Final answer
    x = 2,344.66

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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.