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Finding the Fourth Proportional to 2,292.63, 3,164.55 and 1,464.63

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Solution

The fourth proportional to 2,292.63, 3,164.55 and 1,464.63 is: 2,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.63 : 3,164.55 = 1,464.63 : x
  2. Step 2: Convert to fraction form
    2,292.63/3,164.55 = 1,464.63/x
  3. Step 3: Cross multiply
    2,292.63x = 3,164.55 × 1,464.63
  4. Step 4: Simplify right side
    2,292.63x = 4,634,871.72
  5. Step 5: Solve for x
    x = 4,634,871.72/2,292.63
  6. Step 6: Final answer
    x = 2,021.64

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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.