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Finding the Fourth Proportional to 2,137.10, 3,205.64 and 598.10

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Solution

The fourth proportional to 2,137.10, 3,205.64 and 598.10 is: 897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.10 : 3,205.64 = 598.10 : x
  2. Step 2: Convert to fraction form
    2,137.10/3,205.64 = 598.10/x
  3. Step 3: Cross multiply
    2,137.10x = 3,205.64 × 598.10
  4. Step 4: Simplify right side
    2,137.10x = 1,917,293.28
  5. Step 5: Solve for x
    x = 1,917,293.28/2,137.10
  6. Step 6: Final answer
    x = 897.15

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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.