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Finding the Fourth Proportional to 2,740.64, 3,782.04 and 1,498.64

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Solution

The fourth proportional to 2,740.64, 3,782.04 and 1,498.64 is: 2,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.64 : 3,782.04 = 1,498.64 : x
  2. Step 2: Convert to fraction form
    2,740.64/3,782.04 = 1,498.64/x
  3. Step 3: Cross multiply
    2,740.64x = 3,782.04 × 1,498.64
  4. Step 4: Simplify right side
    2,740.64x = 5,667,916.43
  5. Step 5: Solve for x
    x = 5,667,916.43/2,740.64
  6. Step 6: Final answer
    x = 2,068.10

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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.