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Finding the Fourth Proportional to 2,897.86, 4,347.40 and 949.91

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Solution

The fourth proportional to 2,897.86, 4,347.40 and 949.91 is: 1,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.86 : 4,347.40 = 949.91 : x
  2. Step 2: Convert to fraction form
    2,897.86/4,347.40 = 949.91/x
  3. Step 3: Cross multiply
    2,897.86x = 4,347.40 × 949.91
  4. Step 4: Simplify right side
    2,897.86x = 4,129,638.73
  5. Step 5: Solve for x
    x = 4,129,638.73/2,897.86
  6. Step 6: Final answer
    x = 1,425.06

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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.