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Finding the Fourth Proportional to 4,128.52, 6,192.80 and 1,207

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Solution

The fourth proportional to 4,128.52, 6,192.80 and 1,207 is: 1,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.52 : 6,192.80 = 1,207 : x
  2. Step 2: Convert to fraction form
    4,128.52/6,192.80 = 1,207/x
  3. Step 3: Cross multiply
    4,128.52x = 6,192.80 × 1,207
  4. Step 4: Simplify right side
    4,128.52x = 7,474,709.60
  5. Step 5: Solve for x
    x = 7,474,709.60/4,128.52
  6. Step 6: Final answer
    x = 1,810.51

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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.