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Finding the Fourth Proportional to 3,043.36, 4,199.88 and 1,864

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Solution

The fourth proportional to 3,043.36, 4,199.88 and 1,864 is: 2,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.36 : 4,199.88 = 1,864 : x
  2. Step 2: Convert to fraction form
    3,043.36/4,199.88 = 1,864/x
  3. Step 3: Cross multiply
    3,043.36x = 4,199.88 × 1,864
  4. Step 4: Simplify right side
    3,043.36x = 7,828,576.32
  5. Step 5: Solve for x
    x = 7,828,576.32/3,043.36
  6. Step 6: Final answer
    x = 2,572.35

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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.