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Finding the Fourth Proportional to 2,295, 3,442.14 and 1,907.49

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Solution

The fourth proportional to 2,295, 3,442.14 and 1,907.49 is: 2,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295 : 3,442.14 = 1,907.49 : x
  2. Step 2: Convert to fraction form
    2,295/3,442.14 = 1,907.49/x
  3. Step 3: Cross multiply
    2,295x = 3,442.14 × 1,907.49
  4. Step 4: Simplify right side
    2,295x = 6,565,847.63
  5. Step 5: Solve for x
    x = 6,565,847.63/2,295
  6. Step 6: Final answer
    x = 2,860.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.