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Finding the Fourth Proportional to 3,036.65, 4,555.26 and 845.42

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Solution

The fourth proportional to 3,036.65, 4,555.26 and 845.42 is: 1,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.65 : 4,555.26 = 845.42 : x
  2. Step 2: Convert to fraction form
    3,036.65/4,555.26 = 845.42/x
  3. Step 3: Cross multiply
    3,036.65x = 4,555.26 × 845.42
  4. Step 4: Simplify right side
    3,036.65x = 3,851,085.13
  5. Step 5: Solve for x
    x = 3,851,085.13/3,036.65
  6. Step 6: Final answer
    x = 1,268.20

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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.