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Finding the Fourth Proportional to 3,295.47, 4,941.66 and 1,102.67

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Solution

The fourth proportional to 3,295.47, 4,941.66 and 1,102.67 is: 1,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.47 : 4,941.66 = 1,102.67 : x
  2. Step 2: Convert to fraction form
    3,295.47/4,941.66 = 1,102.67/x
  3. Step 3: Cross multiply
    3,295.47x = 4,941.66 × 1,102.67
  4. Step 4: Simplify right side
    3,295.47x = 5,448,995.52
  5. Step 5: Solve for x
    x = 5,448,995.52/3,295.47
  6. Step 6: Final answer
    x = 1,653.48

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