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Finding the Fourth Proportional to 2,201.50, 3,038.16 and 1,270

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Solution

The fourth proportional to 2,201.50, 3,038.16 and 1,270 is: 1,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.50 : 3,038.16 = 1,270 : x
  2. Step 2: Convert to fraction form
    2,201.50/3,038.16 = 1,270/x
  3. Step 3: Cross multiply
    2,201.50x = 3,038.16 × 1,270
  4. Step 4: Simplify right side
    2,201.50x = 3,858,463.20
  5. Step 5: Solve for x
    x = 3,858,463.20/2,201.50
  6. Step 6: Final answer
    x = 1,752.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.