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Finding the Fourth Proportional to 1,573.56, 2,357.91 and 1,162.08

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Solution

The fourth proportional to 1,573.56, 2,357.91 and 1,162.08 is: 1,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.56 : 2,357.91 = 1,162.08 : x
  2. Step 2: Convert to fraction form
    1,573.56/2,357.91 = 1,162.08/x
  3. Step 3: Cross multiply
    1,573.56x = 2,357.91 × 1,162.08
  4. Step 4: Simplify right side
    1,573.56x = 2,740,080.05
  5. Step 5: Solve for x
    x = 2,740,080.05/1,573.56
  6. Step 6: Final answer
    x = 1,741.33

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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.