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Finding the Fourth Proportional to 2,380.22, 3,570.35 and 648.85

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Solution

The fourth proportional to 2,380.22, 3,570.35 and 648.85 is: 973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.22 : 3,570.35 = 648.85 : x
  2. Step 2: Convert to fraction form
    2,380.22/3,570.35 = 648.85/x
  3. Step 3: Cross multiply
    2,380.22x = 3,570.35 × 648.85
  4. Step 4: Simplify right side
    2,380.22x = 2,316,621.60
  5. Step 5: Solve for x
    x = 2,316,621.60/2,380.22
  6. Step 6: Final answer
    x = 973.28

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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.