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Finding the Fourth Proportional to 2,430, 3,353.70 and 1,436.13

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Solution

The fourth proportional to 2,430, 3,353.70 and 1,436.13 is: 1,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 3,353.70 = 1,436.13 : x
  2. Step 2: Convert to fraction form
    2,430/3,353.70 = 1,436.13/x
  3. Step 3: Cross multiply
    2,430x = 3,353.70 × 1,436.13
  4. Step 4: Simplify right side
    2,430x = 4,816,354.57
  5. Step 5: Solve for x
    x = 4,816,354.57/2,430
  6. Step 6: Final answer
    x = 1,982.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.