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Finding the Fourth Proportional to 2,324.32, 3,485.04 and 1,298.08

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Solution

The fourth proportional to 2,324.32, 3,485.04 and 1,298.08 is: 1,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.32 : 3,485.04 = 1,298.08 : x
  2. Step 2: Convert to fraction form
    2,324.32/3,485.04 = 1,298.08/x
  3. Step 3: Cross multiply
    2,324.32x = 3,485.04 × 1,298.08
  4. Step 4: Simplify right side
    2,324.32x = 4,523,860.72
  5. Step 5: Solve for x
    x = 4,523,860.72/2,324.32
  6. Step 6: Final answer
    x = 1,946.32

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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.