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Finding the Fourth Proportional to 2,886.46, 4,330.23 and 1,424.86

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Solution

The fourth proportional to 2,886.46, 4,330.23 and 1,424.86 is: 2,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.46 : 4,330.23 = 1,424.86 : x
  2. Step 2: Convert to fraction form
    2,886.46/4,330.23 = 1,424.86/x
  3. Step 3: Cross multiply
    2,886.46x = 4,330.23 × 1,424.86
  4. Step 4: Simplify right side
    2,886.46x = 6,169,971.52
  5. Step 5: Solve for x
    x = 6,169,971.52/2,886.46
  6. Step 6: Final answer
    x = 2,137.56

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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.