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Finding the Fourth Proportional to 2,130.86, 3,196.27 and 570.82

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Solution

The fourth proportional to 2,130.86, 3,196.27 and 570.82 is: 856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.86 : 3,196.27 = 570.82 : x
  2. Step 2: Convert to fraction form
    2,130.86/3,196.27 = 570.82/x
  3. Step 3: Cross multiply
    2,130.86x = 3,196.27 × 570.82
  4. Step 4: Simplify right side
    2,130.86x = 1,824,476.01
  5. Step 5: Solve for x
    x = 1,824,476.01/2,130.86
  6. Step 6: Final answer
    x = 856.22

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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.