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Finding the Fourth Proportional to 2,507.39, 3,460.32 and 1,388.37

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Solution

The fourth proportional to 2,507.39, 3,460.32 and 1,388.37 is: 1,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.39 : 3,460.32 = 1,388.37 : x
  2. Step 2: Convert to fraction form
    2,507.39/3,460.32 = 1,388.37/x
  3. Step 3: Cross multiply
    2,507.39x = 3,460.32 × 1,388.37
  4. Step 4: Simplify right side
    2,507.39x = 4,804,217.45
  5. Step 5: Solve for x
    x = 4,804,217.45/2,507.39
  6. Step 6: Final answer
    x = 1,916.02

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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.