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Finding the Fourth Proportional to 4,895.48, 7,342.47 and 1,608.63

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Solution

The fourth proportional to 4,895.48, 7,342.47 and 1,608.63 is: 2,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.48 : 7,342.47 = 1,608.63 : x
  2. Step 2: Convert to fraction form
    4,895.48/7,342.47 = 1,608.63/x
  3. Step 3: Cross multiply
    4,895.48x = 7,342.47 × 1,608.63
  4. Step 4: Simplify right side
    4,895.48x = 11,811,317.52
  5. Step 5: Solve for x
    x = 11,811,317.52/4,895.48
  6. Step 6: Final answer
    x = 2,412.70

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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.