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Finding the Fourth Proportional to 3,129.48, 4,696.11 and 1,897.20

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Solution

The fourth proportional to 3,129.48, 4,696.11 and 1,897.20 is: 2,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.48 : 4,696.11 = 1,897.20 : x
  2. Step 2: Convert to fraction form
    3,129.48/4,696.11 = 1,897.20/x
  3. Step 3: Cross multiply
    3,129.48x = 4,696.11 × 1,897.20
  4. Step 4: Simplify right side
    3,129.48x = 8,909,459.89
  5. Step 5: Solve for x
    x = 8,909,459.89/3,129.48
  6. Step 6: Final answer
    x = 2,846.95

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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.