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Finding the Fourth Proportional to 2,156.74, 2,976.66 and 1,802.17

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Solution

The fourth proportional to 2,156.74, 2,976.66 and 1,802.17 is: 2,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.74 : 2,976.66 = 1,802.17 : x
  2. Step 2: Convert to fraction form
    2,156.74/2,976.66 = 1,802.17/x
  3. Step 3: Cross multiply
    2,156.74x = 2,976.66 × 1,802.17
  4. Step 4: Simplify right side
    2,156.74x = 5,364,447.35
  5. Step 5: Solve for x
    x = 5,364,447.35/2,156.74
  6. Step 6: Final answer
    x = 2,487.29

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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.