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Finding the Fourth Proportional to 2,460.64, 3,684.96 and 1,592.32

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Solution

The fourth proportional to 2,460.64, 3,684.96 and 1,592.32 is: 2,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.64 : 3,684.96 = 1,592.32 : x
  2. Step 2: Convert to fraction form
    2,460.64/3,684.96 = 1,592.32/x
  3. Step 3: Cross multiply
    2,460.64x = 3,684.96 × 1,592.32
  4. Step 4: Simplify right side
    2,460.64x = 5,867,635.51
  5. Step 5: Solve for x
    x = 5,867,635.51/2,460.64
  6. Step 6: Final answer
    x = 2,384.60

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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.