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Finding the Fourth Proportional to 2,963.07, 4,444.59 and 771.80

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Solution

The fourth proportional to 2,963.07, 4,444.59 and 771.80 is: 1,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.07 : 4,444.59 = 771.80 : x
  2. Step 2: Convert to fraction form
    2,963.07/4,444.59 = 771.80/x
  3. Step 3: Cross multiply
    2,963.07x = 4,444.59 × 771.80
  4. Step 4: Simplify right side
    2,963.07x = 3,430,312.34
  5. Step 5: Solve for x
    x = 3,430,312.34/2,963.07
  6. Step 6: Final answer
    x = 1,157.69

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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.