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Finding the Fourth Proportional to 2,453.60, 3,386.04 and 1,406

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Solution

The fourth proportional to 2,453.60, 3,386.04 and 1,406 is: 1,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.60 : 3,386.04 = 1,406 : x
  2. Step 2: Convert to fraction form
    2,453.60/3,386.04 = 1,406/x
  3. Step 3: Cross multiply
    2,453.60x = 3,386.04 × 1,406
  4. Step 4: Simplify right side
    2,453.60x = 4,760,772.24
  5. Step 5: Solve for x
    x = 4,760,772.24/2,453.60
  6. Step 6: Final answer
    x = 1,940.32

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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.