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Finding the Fourth Proportional to 2,026.11, 3,038.70 and 565.41

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Solution

The fourth proportional to 2,026.11, 3,038.70 and 565.41 is: 847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.11 : 3,038.70 = 565.41 : x
  2. Step 2: Convert to fraction form
    2,026.11/3,038.70 = 565.41/x
  3. Step 3: Cross multiply
    2,026.11x = 3,038.70 × 565.41
  4. Step 4: Simplify right side
    2,026.11x = 1,718,111.37
  5. Step 5: Solve for x
    x = 1,718,111.37/2,026.11
  6. Step 6: Final answer
    x = 847.99

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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.