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Finding the Fourth Proportional to 2,368.46, 3,267.92 and 1,423.94

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Solution

The fourth proportional to 2,368.46, 3,267.92 and 1,423.94 is: 1,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.46 : 3,267.92 = 1,423.94 : x
  2. Step 2: Convert to fraction form
    2,368.46/3,267.92 = 1,423.94/x
  3. Step 3: Cross multiply
    2,368.46x = 3,267.92 × 1,423.94
  4. Step 4: Simplify right side
    2,368.46x = 4,653,322.00
  5. Step 5: Solve for x
    x = 4,653,322.00/2,368.46
  6. Step 6: Final answer
    x = 1,964.70

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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.