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Finding the Fourth Proportional to 2,369.84, 3,551.88 and 982.64

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Solution

The fourth proportional to 2,369.84, 3,551.88 and 982.64 is: 1,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.84 : 3,551.88 = 982.64 : x
  2. Step 2: Convert to fraction form
    2,369.84/3,551.88 = 982.64/x
  3. Step 3: Cross multiply
    2,369.84x = 3,551.88 × 982.64
  4. Step 4: Simplify right side
    2,369.84x = 3,490,219.36
  5. Step 5: Solve for x
    x = 3,490,219.36/2,369.84
  6. Step 6: Final answer
    x = 1,472.77

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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.