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Finding the Fourth Proportional to 1,559.85, 2,335.99 and 942.02

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Solution

The fourth proportional to 1,559.85, 2,335.99 and 942.02 is: 1,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.85 : 2,335.99 = 942.02 : x
  2. Step 2: Convert to fraction form
    1,559.85/2,335.99 = 942.02/x
  3. Step 3: Cross multiply
    1,559.85x = 2,335.99 × 942.02
  4. Step 4: Simplify right side
    1,559.85x = 2,200,549.30
  5. Step 5: Solve for x
    x = 2,200,549.30/1,559.85
  6. Step 6: Final answer
    x = 1,410.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.