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Finding the Fourth Proportional to 4,242.69, 6,362.88 and 1,777.01

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Solution

The fourth proportional to 4,242.69, 6,362.88 and 1,777.01 is: 2,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.69 : 6,362.88 = 1,777.01 : x
  2. Step 2: Convert to fraction form
    4,242.69/6,362.88 = 1,777.01/x
  3. Step 3: Cross multiply
    4,242.69x = 6,362.88 × 1,777.01
  4. Step 4: Simplify right side
    4,242.69x = 11,306,869.57
  5. Step 5: Solve for x
    x = 11,306,869.57/4,242.69
  6. Step 6: Final answer
    x = 2,665.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.