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Finding the Fourth Proportional to 2,036.10, 3,054.15 and 865.80

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Solution

The fourth proportional to 2,036.10, 3,054.15 and 865.80 is: 1,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.10 : 3,054.15 = 865.80 : x
  2. Step 2: Convert to fraction form
    2,036.10/3,054.15 = 865.80/x
  3. Step 3: Cross multiply
    2,036.10x = 3,054.15 × 865.80
  4. Step 4: Simplify right side
    2,036.10x = 2,644,283.07
  5. Step 5: Solve for x
    x = 2,644,283.07/2,036.10
  6. Step 6: Final answer
    x = 1,298.70

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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.