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Finding the Fourth Proportional to 2,690.64, 4,038.40 and 1,375.28

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Solution

The fourth proportional to 2,690.64, 4,038.40 and 1,375.28 is: 2,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.64 : 4,038.40 = 1,375.28 : x
  2. Step 2: Convert to fraction form
    2,690.64/4,038.40 = 1,375.28/x
  3. Step 3: Cross multiply
    2,690.64x = 4,038.40 × 1,375.28
  4. Step 4: Simplify right side
    2,690.64x = 5,553,930.75
  5. Step 5: Solve for x
    x = 5,553,930.75/2,690.64
  6. Step 6: Final answer
    x = 2,064.17

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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.