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Finding the Fourth Proportional to 1,716.50, 2,368.22 and 1,053.02

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Solution

The fourth proportional to 1,716.50, 2,368.22 and 1,053.02 is: 1,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.50 : 2,368.22 = 1,053.02 : x
  2. Step 2: Convert to fraction form
    1,716.50/2,368.22 = 1,053.02/x
  3. Step 3: Cross multiply
    1,716.50x = 2,368.22 × 1,053.02
  4. Step 4: Simplify right side
    1,716.50x = 2,493,783.02
  5. Step 5: Solve for x
    x = 2,493,783.02/1,716.50
  6. Step 6: Final answer
    x = 1,452.83

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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.