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Finding the Fourth Proportional to 2,430.45, 3,646.89 and 1,196.41

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Solution

The fourth proportional to 2,430.45, 3,646.89 and 1,196.41 is: 1,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.45 : 3,646.89 = 1,196.41 : x
  2. Step 2: Convert to fraction form
    2,430.45/3,646.89 = 1,196.41/x
  3. Step 3: Cross multiply
    2,430.45x = 3,646.89 × 1,196.41
  4. Step 4: Simplify right side
    2,430.45x = 4,363,175.66
  5. Step 5: Solve for x
    x = 4,363,175.66/2,430.45
  6. Step 6: Final answer
    x = 1,795.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.