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Finding the Fourth Proportional to 2,897.12, 4,339.92 and 1,868

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Solution

The fourth proportional to 2,897.12, 4,339.92 and 1,868 is: 2,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.12 : 4,339.92 = 1,868 : x
  2. Step 2: Convert to fraction form
    2,897.12/4,339.92 = 1,868/x
  3. Step 3: Cross multiply
    2,897.12x = 4,339.92 × 1,868
  4. Step 4: Simplify right side
    2,897.12x = 8,106,970.56
  5. Step 5: Solve for x
    x = 8,106,970.56/2,897.12
  6. Step 6: Final answer
    x = 2,798.29

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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.