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Finding the Fourth Proportional to 2,085.07, 3,128.33 and 786.91

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Solution

The fourth proportional to 2,085.07, 3,128.33 and 786.91 is: 1,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.07 : 3,128.33 = 786.91 : x
  2. Step 2: Convert to fraction form
    2,085.07/3,128.33 = 786.91/x
  3. Step 3: Cross multiply
    2,085.07x = 3,128.33 × 786.91
  4. Step 4: Simplify right side
    2,085.07x = 2,461,710.23
  5. Step 5: Solve for x
    x = 2,461,710.23/2,085.07
  6. Step 6: Final answer
    x = 1,180.64

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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.