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Finding the Fourth Proportional to 2,157.35, 3,236.00 and 770.31

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Solution

The fourth proportional to 2,157.35, 3,236.00 and 770.31 is: 1,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.35 : 3,236.00 = 770.31 : x
  2. Step 2: Convert to fraction form
    2,157.35/3,236.00 = 770.31/x
  3. Step 3: Cross multiply
    2,157.35x = 3,236.00 × 770.31
  4. Step 4: Simplify right side
    2,157.35x = 2,492,719.31
  5. Step 5: Solve for x
    x = 2,492,719.31/2,157.35
  6. Step 6: Final answer
    x = 1,155.46

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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.