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Finding the Fourth Proportional to 1,907.95, 2,634.24 and 1,465.06

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Solution

The fourth proportional to 1,907.95, 2,634.24 and 1,465.06 is: 2,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.95 : 2,634.24 = 1,465.06 : x
  2. Step 2: Convert to fraction form
    1,907.95/2,634.24 = 1,465.06/x
  3. Step 3: Cross multiply
    1,907.95x = 2,634.24 × 1,465.06
  4. Step 4: Simplify right side
    1,907.95x = 3,859,319.65
  5. Step 5: Solve for x
    x = 3,859,319.65/1,907.95
  6. Step 6: Final answer
    x = 2,022.76

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