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Finding the Fourth Proportional to 2,116.03, 2,920.94 and 1,894.60

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Solution

The fourth proportional to 2,116.03, 2,920.94 and 1,894.60 is: 2,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.03 : 2,920.94 = 1,894.60 : x
  2. Step 2: Convert to fraction form
    2,116.03/2,920.94 = 1,894.60/x
  3. Step 3: Cross multiply
    2,116.03x = 2,920.94 × 1,894.60
  4. Step 4: Simplify right side
    2,116.03x = 5,534,012.92
  5. Step 5: Solve for x
    x = 5,534,012.92/2,116.03
  6. Step 6: Final answer
    x = 2,615.28

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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.