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Finding the Fourth Proportional to 2,054.58, 2,835.14 and 1,170.38

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Solution

The fourth proportional to 2,054.58, 2,835.14 and 1,170.38 is: 1,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.58 : 2,835.14 = 1,170.38 : x
  2. Step 2: Convert to fraction form
    2,054.58/2,835.14 = 1,170.38/x
  3. Step 3: Cross multiply
    2,054.58x = 2,835.14 × 1,170.38
  4. Step 4: Simplify right side
    2,054.58x = 3,318,191.15
  5. Step 5: Solve for x
    x = 3,318,191.15/2,054.58
  6. Step 6: Final answer
    x = 1,615.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.