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Finding the Fourth Proportional to 2,886.36, 4,324.10 and 1,423.80

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Solution

The fourth proportional to 2,886.36, 4,324.10 and 1,423.80 is: 2,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.36 : 4,324.10 = 1,423.80 : x
  2. Step 2: Convert to fraction form
    2,886.36/4,324.10 = 1,423.80/x
  3. Step 3: Cross multiply
    2,886.36x = 4,324.10 × 1,423.80
  4. Step 4: Simplify right side
    2,886.36x = 6,156,653.58
  5. Step 5: Solve for x
    x = 6,156,653.58/2,886.36
  6. Step 6: Final answer
    x = 2,133.02

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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.