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Finding the Fourth Proportional to 2,401.44, 3,602.30 and 646.40

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Solution

The fourth proportional to 2,401.44, 3,602.30 and 646.40 is: 969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.44 : 3,602.30 = 646.40 : x
  2. Step 2: Convert to fraction form
    2,401.44/3,602.30 = 646.40/x
  3. Step 3: Cross multiply
    2,401.44x = 3,602.30 × 646.40
  4. Step 4: Simplify right side
    2,401.44x = 2,328,526.72
  5. Step 5: Solve for x
    x = 2,328,526.72/2,401.44
  6. Step 6: Final answer
    x = 969.64

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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.