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Finding the Fourth Proportional to 2,419.94, 3,630.39 and 860.02

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Solution

The fourth proportional to 2,419.94, 3,630.39 and 860.02 is: 1,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.94 : 3,630.39 = 860.02 : x
  2. Step 2: Convert to fraction form
    2,419.94/3,630.39 = 860.02/x
  3. Step 3: Cross multiply
    2,419.94x = 3,630.39 × 860.02
  4. Step 4: Simplify right side
    2,419.94x = 3,122,195.71
  5. Step 5: Solve for x
    x = 3,122,195.71/2,419.94
  6. Step 6: Final answer
    x = 1,290.19

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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.