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Finding the Fourth Proportional to 2,017.14, 3,024.47 and 906.36

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Solution

The fourth proportional to 2,017.14, 3,024.47 and 906.36 is: 1,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.14 : 3,024.47 = 906.36 : x
  2. Step 2: Convert to fraction form
    2,017.14/3,024.47 = 906.36/x
  3. Step 3: Cross multiply
    2,017.14x = 3,024.47 × 906.36
  4. Step 4: Simplify right side
    2,017.14x = 2,741,254.10
  5. Step 5: Solve for x
    x = 2,741,254.10/2,017.14
  6. Step 6: Final answer
    x = 1,358.98

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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.