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Finding the Fourth Proportional to 2,430.47, 3,644.73 and 949.46

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Solution

The fourth proportional to 2,430.47, 3,644.73 and 949.46 is: 1,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.47 : 3,644.73 = 949.46 : x
  2. Step 2: Convert to fraction form
    2,430.47/3,644.73 = 949.46/x
  3. Step 3: Cross multiply
    2,430.47x = 3,644.73 × 949.46
  4. Step 4: Simplify right side
    2,430.47x = 3,460,507.12
  5. Step 5: Solve for x
    x = 3,460,507.12/2,430.47
  6. Step 6: Final answer
    x = 1,423.80

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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.