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Finding the Fourth Proportional to 1,907.93, 2,632.80 and 1,057.17

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Solution

The fourth proportional to 1,907.93, 2,632.80 and 1,057.17 is: 1,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.93 : 2,632.80 = 1,057.17 : x
  2. Step 2: Convert to fraction form
    1,907.93/2,632.80 = 1,057.17/x
  3. Step 3: Cross multiply
    1,907.93x = 2,632.80 × 1,057.17
  4. Step 4: Simplify right side
    1,907.93x = 2,783,319.82
  5. Step 5: Solve for x
    x = 2,783,319.82/1,907.93
  6. Step 6: Final answer
    x = 1,458.82

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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.