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Finding the Fourth Proportional to 4,154.64, 6,230.28 and 1,690.68

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Solution

The fourth proportional to 4,154.64, 6,230.28 and 1,690.68 is: 2,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.64 : 6,230.28 = 1,690.68 : x
  2. Step 2: Convert to fraction form
    4,154.64/6,230.28 = 1,690.68/x
  3. Step 3: Cross multiply
    4,154.64x = 6,230.28 × 1,690.68
  4. Step 4: Simplify right side
    4,154.64x = 10,533,409.79
  5. Step 5: Solve for x
    x = 10,533,409.79/4,154.64
  6. Step 6: Final answer
    x = 2,535.34

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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.