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Finding the Fourth Proportional to 2,130.93, 3,196.14 and 571.05

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Solution

The fourth proportional to 2,130.93, 3,196.14 and 571.05 is: 856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.93 : 3,196.14 = 571.05 : x
  2. Step 2: Convert to fraction form
    2,130.93/3,196.14 = 571.05/x
  3. Step 3: Cross multiply
    2,130.93x = 3,196.14 × 571.05
  4. Step 4: Simplify right side
    2,130.93x = 1,825,155.75
  5. Step 5: Solve for x
    x = 1,825,155.75/2,130.93
  6. Step 6: Final answer
    x = 856.51

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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.