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Finding the Fourth Proportional to 2,455.30, 3,683.40 and 994.60

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Solution

The fourth proportional to 2,455.30, 3,683.40 and 994.60 is: 1,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.30 : 3,683.40 = 994.60 : x
  2. Step 2: Convert to fraction form
    2,455.30/3,683.40 = 994.60/x
  3. Step 3: Cross multiply
    2,455.30x = 3,683.40 × 994.60
  4. Step 4: Simplify right side
    2,455.30x = 3,663,509.64
  5. Step 5: Solve for x
    x = 3,663,509.64/2,455.30
  6. Step 6: Final answer
    x = 1,492.08

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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.