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Finding the Fourth Proportional to 2,808.14, 4,210.86 and 958.75

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Solution

The fourth proportional to 2,808.14, 4,210.86 and 958.75 is: 1,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.14 : 4,210.86 = 958.75 : x
  2. Step 2: Convert to fraction form
    2,808.14/4,210.86 = 958.75/x
  3. Step 3: Cross multiply
    2,808.14x = 4,210.86 × 958.75
  4. Step 4: Simplify right side
    2,808.14x = 4,037,176.08
  5. Step 5: Solve for x
    x = 4,037,176.08/2,808.14
  6. Step 6: Final answer
    x = 1,437.67

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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.