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Finding the Fourth Proportional to 2,373, 3,274.74 and 1,325.16

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Solution

The fourth proportional to 2,373, 3,274.74 and 1,325.16 is: 1,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373 : 3,274.74 = 1,325.16 : x
  2. Step 2: Convert to fraction form
    2,373/3,274.74 = 1,325.16/x
  3. Step 3: Cross multiply
    2,373x = 3,274.74 × 1,325.16
  4. Step 4: Simplify right side
    2,373x = 4,339,554.46
  5. Step 5: Solve for x
    x = 4,339,554.46/2,373
  6. Step 6: Final answer
    x = 1,828.72

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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.