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Finding the Fourth Proportional to 2,627.50, 3,941.14 and 653.13

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Solution

The fourth proportional to 2,627.50, 3,941.14 and 653.13 is: 979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.50 : 3,941.14 = 653.13 : x
  2. Step 2: Convert to fraction form
    2,627.50/3,941.14 = 653.13/x
  3. Step 3: Cross multiply
    2,627.50x = 3,941.14 × 653.13
  4. Step 4: Simplify right side
    2,627.50x = 2,574,076.77
  5. Step 5: Solve for x
    x = 2,574,076.77/2,627.50
  6. Step 6: Final answer
    x = 979.67

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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.