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Finding the Fourth Proportional to 2,897.14, 4,343.11 and 1,047.82

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Solution

The fourth proportional to 2,897.14, 4,343.11 and 1,047.82 is: 1,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.14 : 4,343.11 = 1,047.82 : x
  2. Step 2: Convert to fraction form
    2,897.14/4,343.11 = 1,047.82/x
  3. Step 3: Cross multiply
    2,897.14x = 4,343.11 × 1,047.82
  4. Step 4: Simplify right side
    2,897.14x = 4,550,784.04
  5. Step 5: Solve for x
    x = 4,550,784.04/2,897.14
  6. Step 6: Final answer
    x = 1,570.79

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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.