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Finding the Fourth Proportional to 2,286.51, 3,155.04 and 1,291.65

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Solution

The fourth proportional to 2,286.51, 3,155.04 and 1,291.65 is: 1,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.51 : 3,155.04 = 1,291.65 : x
  2. Step 2: Convert to fraction form
    2,286.51/3,155.04 = 1,291.65/x
  3. Step 3: Cross multiply
    2,286.51x = 3,155.04 × 1,291.65
  4. Step 4: Simplify right side
    2,286.51x = 4,075,207.42
  5. Step 5: Solve for x
    x = 4,075,207.42/2,286.51
  6. Step 6: Final answer
    x = 1,782.28

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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.