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Finding the Fourth Proportional to 2,880.17, 4,320.35 and 771.77

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Solution

The fourth proportional to 2,880.17, 4,320.35 and 771.77 is: 1,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.17 : 4,320.35 = 771.77 : x
  2. Step 2: Convert to fraction form
    2,880.17/4,320.35 = 771.77/x
  3. Step 3: Cross multiply
    2,880.17x = 4,320.35 × 771.77
  4. Step 4: Simplify right side
    2,880.17x = 3,334,316.52
  5. Step 5: Solve for x
    x = 3,334,316.52/2,880.17
  6. Step 6: Final answer
    x = 1,157.68

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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.