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Finding the Fourth Proportional to 1,716.53, 2,368.92 and 970.22

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Solution

The fourth proportional to 1,716.53, 2,368.92 and 970.22 is: 1,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.53 : 2,368.92 = 970.22 : x
  2. Step 2: Convert to fraction form
    1,716.53/2,368.92 = 970.22/x
  3. Step 3: Cross multiply
    1,716.53x = 2,368.92 × 970.22
  4. Step 4: Simplify right side
    1,716.53x = 2,298,365.36
  5. Step 5: Solve for x
    x = 2,298,365.36/1,716.53
  6. Step 6: Final answer
    x = 1,338.96

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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.