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Finding the Fourth Proportional to 2,897.06, 4,345.14 and 949.73

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Solution

The fourth proportional to 2,897.06, 4,345.14 and 949.73 is: 1,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.06 : 4,345.14 = 949.73 : x
  2. Step 2: Convert to fraction form
    2,897.06/4,345.14 = 949.73/x
  3. Step 3: Cross multiply
    2,897.06x = 4,345.14 × 949.73
  4. Step 4: Simplify right side
    2,897.06x = 4,126,709.81
  5. Step 5: Solve for x
    x = 4,126,709.81/2,897.06
  6. Step 6: Final answer
    x = 1,424.45

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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.