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Finding the Fourth Proportional to 2,088.06, 3,130.47 and 855.78

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Solution

The fourth proportional to 2,088.06, 3,130.47 and 855.78 is: 1,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.06 : 3,130.47 = 855.78 : x
  2. Step 2: Convert to fraction form
    2,088.06/3,130.47 = 855.78/x
  3. Step 3: Cross multiply
    2,088.06x = 3,130.47 × 855.78
  4. Step 4: Simplify right side
    2,088.06x = 2,678,993.62
  5. Step 5: Solve for x
    x = 2,678,993.62/2,088.06
  6. Step 6: Final answer
    x = 1,283.01

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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.