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Finding the Fourth Proportional to 4,141.02, 6,211.49 and 1,021

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Solution

The fourth proportional to 4,141.02, 6,211.49 and 1,021 is: 1,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.02 : 6,211.49 = 1,021 : x
  2. Step 2: Convert to fraction form
    4,141.02/6,211.49 = 1,021/x
  3. Step 3: Cross multiply
    4,141.02x = 6,211.49 × 1,021
  4. Step 4: Simplify right side
    4,141.02x = 6,341,931.29
  5. Step 5: Solve for x
    x = 6,341,931.29/4,141.02
  6. Step 6: Final answer
    x = 1,531.49

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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.