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Finding the Fourth Proportional to 2,771.88, 3,817.02 and 2,477.04

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Solution

The fourth proportional to 2,771.88, 3,817.02 and 2,477.04 is: 3,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.88 : 3,817.02 = 2,477.04 : x
  2. Step 2: Convert to fraction form
    2,771.88/3,817.02 = 2,477.04/x
  3. Step 3: Cross multiply
    2,771.88x = 3,817.02 × 2,477.04
  4. Step 4: Simplify right side
    2,771.88x = 9,454,911.22
  5. Step 5: Solve for x
    x = 9,454,911.22/2,771.88
  6. Step 6: Final answer
    x = 3,411.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.