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Finding the Fourth Proportional to 2,802.48, 4,206.15 and 1,633.65

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Solution

The fourth proportional to 2,802.48, 4,206.15 and 1,633.65 is: 2,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.48 : 4,206.15 = 1,633.65 : x
  2. Step 2: Convert to fraction form
    2,802.48/4,206.15 = 1,633.65/x
  3. Step 3: Cross multiply
    2,802.48x = 4,206.15 × 1,633.65
  4. Step 4: Simplify right side
    2,802.48x = 6,871,376.95
  5. Step 5: Solve for x
    x = 6,871,376.95/2,802.48
  6. Step 6: Final answer
    x = 2,451.89

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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.