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Finding the Fourth Proportional to 2,055.07, 2,835.28 and 1,170.65

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Solution

The fourth proportional to 2,055.07, 2,835.28 and 1,170.65 is: 1,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.07 : 2,835.28 = 1,170.65 : x
  2. Step 2: Convert to fraction form
    2,055.07/2,835.28 = 1,170.65/x
  3. Step 3: Cross multiply
    2,055.07x = 2,835.28 × 1,170.65
  4. Step 4: Simplify right side
    2,055.07x = 3,319,120.53
  5. Step 5: Solve for x
    x = 3,319,120.53/2,055.07
  6. Step 6: Final answer
    x = 1,615.09

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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.