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Finding the Fourth Proportional to 2,116.53, 2,922 and 1,277.47

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Solution

The fourth proportional to 2,116.53, 2,922 and 1,277.47 is: 1,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.53 : 2,922 = 1,277.47 : x
  2. Step 2: Convert to fraction form
    2,116.53/2,922 = 1,277.47/x
  3. Step 3: Cross multiply
    2,116.53x = 2,922 × 1,277.47
  4. Step 4: Simplify right side
    2,116.53x = 3,732,767.34
  5. Step 5: Solve for x
    x = 3,732,767.34/2,116.53
  6. Step 6: Final answer
    x = 1,763.63

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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.