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Finding the Fourth Proportional to 1,568.55, 2,164.60 and 860.40

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Solution

The fourth proportional to 1,568.55, 2,164.60 and 860.40 is: 1,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.55 : 2,164.60 = 860.40 : x
  2. Step 2: Convert to fraction form
    1,568.55/2,164.60 = 860.40/x
  3. Step 3: Cross multiply
    1,568.55x = 2,164.60 × 860.40
  4. Step 4: Simplify right side
    1,568.55x = 1,862,406.72
  5. Step 5: Solve for x
    x = 1,862,406.72/1,568.55
  6. Step 6: Final answer
    x = 1,187.35

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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.