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Finding the Fourth Proportional to 1,362.09, 1,878.61 and 913.81

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Solution

The fourth proportional to 1,362.09, 1,878.61 and 913.81 is: 1,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.09 : 1,878.61 = 913.81 : x
  2. Step 2: Convert to fraction form
    1,362.09/1,878.61 = 913.81/x
  3. Step 3: Cross multiply
    1,362.09x = 1,878.61 × 913.81
  4. Step 4: Simplify right side
    1,362.09x = 1,716,692.60
  5. Step 5: Solve for x
    x = 1,716,692.60/1,362.09
  6. Step 6: Final answer
    x = 1,260.34

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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.