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Finding the Fourth Proportional to 1,719.29, 2,372.96 and 973.26

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Solution

The fourth proportional to 1,719.29, 2,372.96 and 973.26 is: 1,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.29 : 2,372.96 = 973.26 : x
  2. Step 2: Convert to fraction form
    1,719.29/2,372.96 = 973.26/x
  3. Step 3: Cross multiply
    1,719.29x = 2,372.96 × 973.26
  4. Step 4: Simplify right side
    1,719.29x = 2,309,502.18
  5. Step 5: Solve for x
    x = 2,309,502.18/1,719.29
  6. Step 6: Final answer
    x = 1,343.29

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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.