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Finding the Fourth Proportional to 2,681.68, 4,024.05 and 2,095.03

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Solution

The fourth proportional to 2,681.68, 4,024.05 and 2,095.03 is: 3,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.68 : 4,024.05 = 2,095.03 : x
  2. Step 2: Convert to fraction form
    2,681.68/4,024.05 = 2,095.03/x
  3. Step 3: Cross multiply
    2,681.68x = 4,024.05 × 2,095.03
  4. Step 4: Simplify right side
    2,681.68x = 8,430,495.00
  5. Step 5: Solve for x
    x = 8,430,495.00/2,681.68
  6. Step 6: Final answer
    x = 3,143.74

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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.