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Finding the Fourth Proportional to 1,893.81, 2,840.59 and 907.33

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Solution

The fourth proportional to 1,893.81, 2,840.59 and 907.33 is: 1,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.81 : 2,840.59 = 907.33 : x
  2. Step 2: Convert to fraction form
    1,893.81/2,840.59 = 907.33/x
  3. Step 3: Cross multiply
    1,893.81x = 2,840.59 × 907.33
  4. Step 4: Simplify right side
    1,893.81x = 2,577,352.52
  5. Step 5: Solve for x
    x = 2,577,352.52/1,893.81
  6. Step 6: Final answer
    x = 1,360.94

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