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Finding the Fourth Proportional to 2,130.83, 3,195.99 and 570.95

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Solution

The fourth proportional to 2,130.83, 3,195.99 and 570.95 is: 856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.83 : 3,195.99 = 570.95 : x
  2. Step 2: Convert to fraction form
    2,130.83/3,195.99 = 570.95/x
  3. Step 3: Cross multiply
    2,130.83x = 3,195.99 × 570.95
  4. Step 4: Simplify right side
    2,130.83x = 1,824,750.49
  5. Step 5: Solve for x
    x = 1,824,750.49/2,130.83
  6. Step 6: Final answer
    x = 856.36

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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.