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Finding the Fourth Proportional to 2,384.96, 3,577.34 and 653.64

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Solution

The fourth proportional to 2,384.96, 3,577.34 and 653.64 is: 980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.96 : 3,577.34 = 653.64 : x
  2. Step 2: Convert to fraction form
    2,384.96/3,577.34 = 653.64/x
  3. Step 3: Cross multiply
    2,384.96x = 3,577.34 × 653.64
  4. Step 4: Simplify right side
    2,384.96x = 2,338,292.52
  5. Step 5: Solve for x
    x = 2,338,292.52/2,384.96
  6. Step 6: Final answer
    x = 980.43

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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.