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Finding the Fourth Proportional to 2,864.99, 4,292.48 and 2,038.95

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Solution

The fourth proportional to 2,864.99, 4,292.48 and 2,038.95 is: 3,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.99 : 4,292.48 = 2,038.95 : x
  2. Step 2: Convert to fraction form
    2,864.99/4,292.48 = 2,038.95/x
  3. Step 3: Cross multiply
    2,864.99x = 4,292.48 × 2,038.95
  4. Step 4: Simplify right side
    2,864.99x = 8,752,157.19
  5. Step 5: Solve for x
    x = 8,752,157.19/2,864.99
  6. Step 6: Final answer
    x = 3,054.86

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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.