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Finding the Fourth Proportional to 2,426.76, 3,642.17 and 1,802.66

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Solution

The fourth proportional to 2,426.76, 3,642.17 and 1,802.66 is: 2,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.76 : 3,642.17 = 1,802.66 : x
  2. Step 2: Convert to fraction form
    2,426.76/3,642.17 = 1,802.66/x
  3. Step 3: Cross multiply
    2,426.76x = 3,642.17 × 1,802.66
  4. Step 4: Simplify right side
    2,426.76x = 6,565,566.95
  5. Step 5: Solve for x
    x = 6,565,566.95/2,426.76
  6. Step 6: Final answer
    x = 2,705.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.