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Finding the Fourth Proportional to 2,374.43, 3,561.64 and 643.06

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Solution

The fourth proportional to 2,374.43, 3,561.64 and 643.06 is: 964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.43 : 3,561.64 = 643.06 : x
  2. Step 2: Convert to fraction form
    2,374.43/3,561.64 = 643.06/x
  3. Step 3: Cross multiply
    2,374.43x = 3,561.64 × 643.06
  4. Step 4: Simplify right side
    2,374.43x = 2,290,327.19
  5. Step 5: Solve for x
    x = 2,290,327.19/2,374.43
  6. Step 6: Final answer
    x = 964.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.