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Finding the Fourth Proportional to 2,138.58, 2,946.96 and 1,802.51

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Solution

The fourth proportional to 2,138.58, 2,946.96 and 1,802.51 is: 2,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.58 : 2,946.96 = 1,802.51 : x
  2. Step 2: Convert to fraction form
    2,138.58/2,946.96 = 1,802.51/x
  3. Step 3: Cross multiply
    2,138.58x = 2,946.96 × 1,802.51
  4. Step 4: Simplify right side
    2,138.58x = 5,311,910.13
  5. Step 5: Solve for x
    x = 5,311,910.13/2,138.58
  6. Step 6: Final answer
    x = 2,483.85

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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.