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Finding the Fourth Proportional to 2,495.42, 3,743.14 and 646.40

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Solution

The fourth proportional to 2,495.42, 3,743.14 and 646.40 is: 969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.42 : 3,743.14 = 646.40 : x
  2. Step 2: Convert to fraction form
    2,495.42/3,743.14 = 646.40/x
  3. Step 3: Cross multiply
    2,495.42x = 3,743.14 × 646.40
  4. Step 4: Simplify right side
    2,495.42x = 2,419,562.46
  5. Step 5: Solve for x
    x = 2,419,562.46/2,495.42
  6. Step 6: Final answer
    x = 969.60

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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.