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Finding the Fourth Proportional to 1,346.43, 2,015.37 and 974.99

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Solution

The fourth proportional to 1,346.43, 2,015.37 and 974.99 is: 1,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.43 : 2,015.37 = 974.99 : x
  2. Step 2: Convert to fraction form
    1,346.43/2,015.37 = 974.99/x
  3. Step 3: Cross multiply
    1,346.43x = 2,015.37 × 974.99
  4. Step 4: Simplify right side
    1,346.43x = 1,964,955.52
  5. Step 5: Solve for x
    x = 1,964,955.52/1,346.43
  6. Step 6: Final answer
    x = 1,459.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.