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Finding the Fourth Proportional to 3,580.94, 4,942.64 and 2,068.74

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Solution

The fourth proportional to 3,580.94, 4,942.64 and 2,068.74 is: 2,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.94 : 4,942.64 = 2,068.74 : x
  2. Step 2: Convert to fraction form
    3,580.94/4,942.64 = 2,068.74/x
  3. Step 3: Cross multiply
    3,580.94x = 4,942.64 × 2,068.74
  4. Step 4: Simplify right side
    3,580.94x = 10,225,042.25
  5. Step 5: Solve for x
    x = 10,225,042.25/3,580.94
  6. Step 6: Final answer
    x = 2,855.41

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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.