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Finding the Fourth Proportional to 3,274.34, 4,905 and 1,544.18

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Solution

The fourth proportional to 3,274.34, 4,905 and 1,544.18 is: 2,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.34 : 4,905 = 1,544.18 : x
  2. Step 2: Convert to fraction form
    3,274.34/4,905 = 1,544.18/x
  3. Step 3: Cross multiply
    3,274.34x = 4,905 × 1,544.18
  4. Step 4: Simplify right side
    3,274.34x = 7,574,178.38
  5. Step 5: Solve for x
    x = 7,574,178.38/3,274.34
  6. Step 6: Final answer
    x = 2,313.20

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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.