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Finding the Fourth Proportional to 2,026.06, 3,038.98 and 565.18

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Solution

The fourth proportional to 2,026.06, 3,038.98 and 565.18 is: 847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.06 : 3,038.98 = 565.18 : x
  2. Step 2: Convert to fraction form
    2,026.06/3,038.98 = 565.18/x
  3. Step 3: Cross multiply
    2,026.06x = 3,038.98 × 565.18
  4. Step 4: Simplify right side
    2,026.06x = 1,717,570.72
  5. Step 5: Solve for x
    x = 1,717,570.72/2,026.06
  6. Step 6: Final answer
    x = 847.74

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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.