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Finding the Fourth Proportional to 2,002.84, 2,763.66 and 1,305.16

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Solution

The fourth proportional to 2,002.84, 2,763.66 and 1,305.16 is: 1,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.84 : 2,763.66 = 1,305.16 : x
  2. Step 2: Convert to fraction form
    2,002.84/2,763.66 = 1,305.16/x
  3. Step 3: Cross multiply
    2,002.84x = 2,763.66 × 1,305.16
  4. Step 4: Simplify right side
    2,002.84x = 3,607,018.49
  5. Step 5: Solve for x
    x = 3,607,018.49/2,002.84
  6. Step 6: Final answer
    x = 1,800.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.