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Finding the Fourth Proportional to 1,313.45, 1,966.75 and 1,274.49

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Solution

The fourth proportional to 1,313.45, 1,966.75 and 1,274.49 is: 1,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.45 : 1,966.75 = 1,274.49 : x
  2. Step 2: Convert to fraction form
    1,313.45/1,966.75 = 1,274.49/x
  3. Step 3: Cross multiply
    1,313.45x = 1,966.75 × 1,274.49
  4. Step 4: Simplify right side
    1,313.45x = 2,506,600.02
  5. Step 5: Solve for x
    x = 2,506,600.02/1,313.45
  6. Step 6: Final answer
    x = 1,908.41

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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.