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Finding the Fourth Proportional to 2,897.99, 4,347.13 and 2,205.74

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Solution

The fourth proportional to 2,897.99, 4,347.13 and 2,205.74 is: 3,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.99 : 4,347.13 = 2,205.74 : x
  2. Step 2: Convert to fraction form
    2,897.99/4,347.13 = 2,205.74/x
  3. Step 3: Cross multiply
    2,897.99x = 4,347.13 × 2,205.74
  4. Step 4: Simplify right side
    2,897.99x = 9,588,638.53
  5. Step 5: Solve for x
    x = 9,588,638.53/2,897.99
  6. Step 6: Final answer
    x = 3,308.72

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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.