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Finding the Fourth Proportional to 2,147.02, 2,962.11 and 1,262.17

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Solution

The fourth proportional to 2,147.02, 2,962.11 and 1,262.17 is: 1,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.02 : 2,962.11 = 1,262.17 : x
  2. Step 2: Convert to fraction form
    2,147.02/2,962.11 = 1,262.17/x
  3. Step 3: Cross multiply
    2,147.02x = 2,962.11 × 1,262.17
  4. Step 4: Simplify right side
    2,147.02x = 3,738,686.38
  5. Step 5: Solve for x
    x = 3,738,686.38/2,147.02
  6. Step 6: Final answer
    x = 1,741.34

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1.5x scale

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.