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Finding the Fourth Proportional to 2,429.42, 3,643.47 and 674.01

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Solution

The fourth proportional to 2,429.42, 3,643.47 and 674.01 is: 1,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.42 : 3,643.47 = 674.01 : x
  2. Step 2: Convert to fraction form
    2,429.42/3,643.47 = 674.01/x
  3. Step 3: Cross multiply
    2,429.42x = 3,643.47 × 674.01
  4. Step 4: Simplify right side
    2,429.42x = 2,455,713.63
  5. Step 5: Solve for x
    x = 2,455,713.63/2,429.42
  6. Step 6: Final answer
    x = 1,010.82

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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.