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Finding the Fourth Proportional to 2,256.40, 3,385.08 and 957.88

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Solution

The fourth proportional to 2,256.40, 3,385.08 and 957.88 is: 1,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.40 : 3,385.08 = 957.88 : x
  2. Step 2: Convert to fraction form
    2,256.40/3,385.08 = 957.88/x
  3. Step 3: Cross multiply
    2,256.40x = 3,385.08 × 957.88
  4. Step 4: Simplify right side
    2,256.40x = 3,242,500.43
  5. Step 5: Solve for x
    x = 3,242,500.43/2,256.40
  6. Step 6: Final answer
    x = 1,437.02

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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.