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Finding the Fourth Proportional to 2,130.10, 3,194.78 and 570.24

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Solution

The fourth proportional to 2,130.10, 3,194.78 and 570.24 is: 855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.10 : 3,194.78 = 570.24 : x
  2. Step 2: Convert to fraction form
    2,130.10/3,194.78 = 570.24/x
  3. Step 3: Cross multiply
    2,130.10x = 3,194.78 × 570.24
  4. Step 4: Simplify right side
    2,130.10x = 1,821,788.50
  5. Step 5: Solve for x
    x = 1,821,788.50/2,130.10
  6. Step 6: Final answer
    x = 855.26

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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.