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Finding the Fourth Proportional to 2,325.20, 3,487.74 and 570.22

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Solution

The fourth proportional to 2,325.20, 3,487.74 and 570.22 is: 855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.20 : 3,487.74 = 570.22 : x
  2. Step 2: Convert to fraction form
    2,325.20/3,487.74 = 570.22/x
  3. Step 3: Cross multiply
    2,325.20x = 3,487.74 × 570.22
  4. Step 4: Simplify right side
    2,325.20x = 1,988,779.10
  5. Step 5: Solve for x
    x = 1,988,779.10/2,325.20
  6. Step 6: Final answer
    x = 855.32

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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.