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Finding the Fourth Proportional to 2,684.77, 4,025.79 and 929.59

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Solution

The fourth proportional to 2,684.77, 4,025.79 and 929.59 is: 1,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.77 : 4,025.79 = 929.59 : x
  2. Step 2: Convert to fraction form
    2,684.77/4,025.79 = 929.59/x
  3. Step 3: Cross multiply
    2,684.77x = 4,025.79 × 929.59
  4. Step 4: Simplify right side
    2,684.77x = 3,742,328.42
  5. Step 5: Solve for x
    x = 3,742,328.42/2,684.77
  6. Step 6: Final answer
    x = 1,393.91

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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.