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Finding the Fourth Proportional to 4,152.75, 6,230.69 and 1,688.19

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Solution

The fourth proportional to 4,152.75, 6,230.69 and 1,688.19 is: 2,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.75 : 6,230.69 = 1,688.19 : x
  2. Step 2: Convert to fraction form
    4,152.75/6,230.69 = 1,688.19/x
  3. Step 3: Cross multiply
    4,152.75x = 6,230.69 × 1,688.19
  4. Step 4: Simplify right side
    4,152.75x = 10,518,580.11
  5. Step 5: Solve for x
    x = 10,518,580.11/4,152.75
  6. Step 6: Final answer
    x = 2,532.92

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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.