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Finding the Fourth Proportional to 1,862.60, 2,568.28 and 1,189.50

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Solution

The fourth proportional to 1,862.60, 2,568.28 and 1,189.50 is: 1,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.60 : 2,568.28 = 1,189.50 : x
  2. Step 2: Convert to fraction form
    1,862.60/2,568.28 = 1,189.50/x
  3. Step 3: Cross multiply
    1,862.60x = 2,568.28 × 1,189.50
  4. Step 4: Simplify right side
    1,862.60x = 3,054,969.06
  5. Step 5: Solve for x
    x = 3,054,969.06/1,862.60
  6. Step 6: Final answer
    x = 1,640.16

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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.