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Finding the Fourth Proportional to 2,420.14, 3,630.60 and 1,034.14

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Solution

The fourth proportional to 2,420.14, 3,630.60 and 1,034.14 is: 1,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.14 : 3,630.60 = 1,034.14 : x
  2. Step 2: Convert to fraction form
    2,420.14/3,630.60 = 1,034.14/x
  3. Step 3: Cross multiply
    2,420.14x = 3,630.60 × 1,034.14
  4. Step 4: Simplify right side
    2,420.14x = 3,754,548.68
  5. Step 5: Solve for x
    x = 3,754,548.68/2,420.14
  6. Step 6: Final answer
    x = 1,551.38

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1.5x scale

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.