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Finding the Fourth Proportional to 1,570.22, 2,354.52 and 830.23

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Solution

The fourth proportional to 1,570.22, 2,354.52 and 830.23 is: 1,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.22 : 2,354.52 = 830.23 : x
  2. Step 2: Convert to fraction form
    1,570.22/2,354.52 = 830.23/x
  3. Step 3: Cross multiply
    1,570.22x = 2,354.52 × 830.23
  4. Step 4: Simplify right side
    1,570.22x = 1,954,793.14
  5. Step 5: Solve for x
    x = 1,954,793.14/1,570.22
  6. Step 6: Final answer
    x = 1,244.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.