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Finding the Fourth Proportional to 1,719.72, 2,373.36 and 974.01

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Solution

The fourth proportional to 1,719.72, 2,373.36 and 974.01 is: 1,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.72 : 2,373.36 = 974.01 : x
  2. Step 2: Convert to fraction form
    1,719.72/2,373.36 = 974.01/x
  3. Step 3: Cross multiply
    1,719.72x = 2,373.36 × 974.01
  4. Step 4: Simplify right side
    1,719.72x = 2,311,676.37
  5. Step 5: Solve for x
    x = 2,311,676.37/1,719.72
  6. Step 6: Final answer
    x = 1,344.22

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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.