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Finding the Fourth Proportional to 2,116.53, 2,920.82 and 1,185.03

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Solution

The fourth proportional to 2,116.53, 2,920.82 and 1,185.03 is: 1,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.53 : 2,920.82 = 1,185.03 : x
  2. Step 2: Convert to fraction form
    2,116.53/2,920.82 = 1,185.03/x
  3. Step 3: Cross multiply
    2,116.53x = 2,920.82 × 1,185.03
  4. Step 4: Simplify right side
    2,116.53x = 3,461,259.32
  5. Step 5: Solve for x
    x = 3,461,259.32/2,116.53
  6. Step 6: Final answer
    x = 1,635.35

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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.