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Finding the Fourth Proportional to 2,455.38, 3,388.14 and 1,460.70

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Solution

The fourth proportional to 2,455.38, 3,388.14 and 1,460.70 is: 2,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.38 : 3,388.14 = 1,460.70 : x
  2. Step 2: Convert to fraction form
    2,455.38/3,388.14 = 1,460.70/x
  3. Step 3: Cross multiply
    2,455.38x = 3,388.14 × 1,460.70
  4. Step 4: Simplify right side
    2,455.38x = 4,949,056.10
  5. Step 5: Solve for x
    x = 4,949,056.10/2,455.38
  6. Step 6: Final answer
    x = 2,015.60

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Why These Related Problems?

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