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Finding the Fourth Proportional to 2,705.64, 4,056.18 and 2,464.92

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Solution

The fourth proportional to 2,705.64, 4,056.18 and 2,464.92 is: 3,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.64 : 4,056.18 = 2,464.92 : x
  2. Step 2: Convert to fraction form
    2,705.64/4,056.18 = 2,464.92/x
  3. Step 3: Cross multiply
    2,705.64x = 4,056.18 × 2,464.92
  4. Step 4: Simplify right side
    2,705.64x = 9,998,159.21
  5. Step 5: Solve for x
    x = 9,998,159.21/2,705.64
  6. Step 6: Final answer
    x = 3,695.30

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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.