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Finding the Fourth Proportional to 1,716.53, 2,368.82 and 930.57

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Solution

The fourth proportional to 1,716.53, 2,368.82 and 930.57 is: 1,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.53 : 2,368.82 = 930.57 : x
  2. Step 2: Convert to fraction form
    1,716.53/2,368.82 = 930.57/x
  3. Step 3: Cross multiply
    1,716.53x = 2,368.82 × 930.57
  4. Step 4: Simplify right side
    1,716.53x = 2,204,352.83
  5. Step 5: Solve for x
    x = 2,204,352.83/1,716.53
  6. Step 6: Final answer
    x = 1,284.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.