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Finding the Fourth Proportional to 2,020, 3,026.76 and 1,044.88

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Solution

The fourth proportional to 2,020, 3,026.76 and 1,044.88 is: 1,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020 : 3,026.76 = 1,044.88 : x
  2. Step 2: Convert to fraction form
    2,020/3,026.76 = 1,044.88/x
  3. Step 3: Cross multiply
    2,020x = 3,026.76 × 1,044.88
  4. Step 4: Simplify right side
    2,020x = 3,162,600.99
  5. Step 5: Solve for x
    x = 3,162,600.99/2,020
  6. Step 6: Final answer
    x = 1,565.64

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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.