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Finding the Fourth Proportional to 3,188.07, 4,782.53 and 997.02

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Solution

The fourth proportional to 3,188.07, 4,782.53 and 997.02 is: 1,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.07 : 4,782.53 = 997.02 : x
  2. Step 2: Convert to fraction form
    3,188.07/4,782.53 = 997.02/x
  3. Step 3: Cross multiply
    3,188.07x = 4,782.53 × 997.02
  4. Step 4: Simplify right side
    3,188.07x = 4,768,278.06
  5. Step 5: Solve for x
    x = 4,768,278.06/3,188.07
  6. Step 6: Final answer
    x = 1,495.66

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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.