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Finding the Fourth Proportional to 4,288.56, 6,432.78 and 1,210.56

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Solution

The fourth proportional to 4,288.56, 6,432.78 and 1,210.56 is: 1,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.56 : 6,432.78 = 1,210.56 : x
  2. Step 2: Convert to fraction form
    4,288.56/6,432.78 = 1,210.56/x
  3. Step 3: Cross multiply
    4,288.56x = 6,432.78 × 1,210.56
  4. Step 4: Simplify right side
    4,288.56x = 7,787,266.16
  5. Step 5: Solve for x
    x = 7,787,266.16/4,288.56
  6. Step 6: Final answer
    x = 1,815.82

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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.