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Finding the Fourth Proportional to 1,720.14, 2,373.79 and 974.08

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Solution

The fourth proportional to 1,720.14, 2,373.79 and 974.08 is: 1,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.14 : 2,373.79 = 974.08 : x
  2. Step 2: Convert to fraction form
    1,720.14/2,373.79 = 974.08/x
  3. Step 3: Cross multiply
    1,720.14x = 2,373.79 × 974.08
  4. Step 4: Simplify right side
    1,720.14x = 2,312,261.36
  5. Step 5: Solve for x
    x = 2,312,261.36/1,720.14
  6. Step 6: Final answer
    x = 1,344.23

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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.