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Finding the Fourth Proportional to 1,386.77, 1,903.72 and 1,189.94

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Solution

The fourth proportional to 1,386.77, 1,903.72 and 1,189.94 is: 1,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.77 : 1,903.72 = 1,189.94 : x
  2. Step 2: Convert to fraction form
    1,386.77/1,903.72 = 1,189.94/x
  3. Step 3: Cross multiply
    1,386.77x = 1,903.72 × 1,189.94
  4. Step 4: Simplify right side
    1,386.77x = 2,265,300.08
  5. Step 5: Solve for x
    x = 2,265,300.08/1,386.77
  6. Step 6: Final answer
    x = 1,633.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.