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Finding the Fourth Proportional to 2,430.54, 3,644.73 and 1,506.06

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Solution

The fourth proportional to 2,430.54, 3,644.73 and 1,506.06 is: 2,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.54 : 3,644.73 = 1,506.06 : x
  2. Step 2: Convert to fraction form
    2,430.54/3,644.73 = 1,506.06/x
  3. Step 3: Cross multiply
    2,430.54x = 3,644.73 × 1,506.06
  4. Step 4: Simplify right side
    2,430.54x = 5,489,182.06
  5. Step 5: Solve for x
    x = 5,489,182.06/2,430.54
  6. Step 6: Final answer
    x = 2,258.42

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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.