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Finding the Fourth Proportional to 2,810.47, 4,215.67 and 2,194.69

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Solution

The fourth proportional to 2,810.47, 4,215.67 and 2,194.69 is: 3,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.47 : 4,215.67 = 2,194.69 : x
  2. Step 2: Convert to fraction form
    2,810.47/4,215.67 = 2,194.69/x
  3. Step 3: Cross multiply
    2,810.47x = 4,215.67 × 2,194.69
  4. Step 4: Simplify right side
    2,810.47x = 9,252,088.79
  5. Step 5: Solve for x
    x = 9,252,088.79/2,810.47
  6. Step 6: Final answer
    x = 3,292.01

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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.