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Finding the Fourth Proportional to 2,176.64, 3,004.80 and 1,244.96

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Solution

The fourth proportional to 2,176.64, 3,004.80 and 1,244.96 is: 1,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.64 : 3,004.80 = 1,244.96 : x
  2. Step 2: Convert to fraction form
    2,176.64/3,004.80 = 1,244.96/x
  3. Step 3: Cross multiply
    2,176.64x = 3,004.80 × 1,244.96
  4. Step 4: Simplify right side
    2,176.64x = 3,740,855.81
  5. Step 5: Solve for x
    x = 3,740,855.81/2,176.64
  6. Step 6: Final answer
    x = 1,718.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.