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Finding the Fourth Proportional to 3,127.70, 4,697.46 and 1,897.34

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Solution

The fourth proportional to 3,127.70, 4,697.46 and 1,897.34 is: 2,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.70 : 4,697.46 = 1,897.34 : x
  2. Step 2: Convert to fraction form
    3,127.70/4,697.46 = 1,897.34/x
  3. Step 3: Cross multiply
    3,127.70x = 4,697.46 × 1,897.34
  4. Step 4: Simplify right side
    3,127.70x = 8,912,678.76
  5. Step 5: Solve for x
    x = 8,912,678.76/3,127.70
  6. Step 6: Final answer
    x = 2,849.60

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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.