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Finding the Fourth Proportional to 2,257.00, 3,385.88 and 776.15

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Solution

The fourth proportional to 2,257.00, 3,385.88 and 776.15 is: 1,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.00 : 3,385.88 = 776.15 : x
  2. Step 2: Convert to fraction form
    2,257.00/3,385.88 = 776.15/x
  3. Step 3: Cross multiply
    2,257.00x = 3,385.88 × 776.15
  4. Step 4: Simplify right side
    2,257.00x = 2,627,950.76
  5. Step 5: Solve for x
    x = 2,627,950.76/2,257.00
  6. Step 6: Final answer
    x = 1,164.36

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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.