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Finding the Fourth Proportional to 2,942.54, 4,060.63 and 1,700.54

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Solution

The fourth proportional to 2,942.54, 4,060.63 and 1,700.54 is: 2,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.54 : 4,060.63 = 1,700.54 : x
  2. Step 2: Convert to fraction form
    2,942.54/4,060.63 = 1,700.54/x
  3. Step 3: Cross multiply
    2,942.54x = 4,060.63 × 1,700.54
  4. Step 4: Simplify right side
    2,942.54x = 6,905,263.74
  5. Step 5: Solve for x
    x = 6,905,263.74/2,942.54
  6. Step 6: Final answer
    x = 2,346.70

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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.