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Finding the Fourth Proportional to 1,559.60, 2,152.16 and 851.30

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Solution

The fourth proportional to 1,559.60, 2,152.16 and 851.30 is: 1,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.60 : 2,152.16 = 851.30 : x
  2. Step 2: Convert to fraction form
    1,559.60/2,152.16 = 851.30/x
  3. Step 3: Cross multiply
    1,559.60x = 2,152.16 × 851.30
  4. Step 4: Simplify right side
    1,559.60x = 1,832,139.75
  5. Step 5: Solve for x
    x = 1,832,139.75/1,559.60
  6. Step 6: Final answer
    x = 1,174.75

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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.