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Finding the Fourth Proportional to 2,430.58, 3,353.02 and 1,546.67

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Solution

The fourth proportional to 2,430.58, 3,353.02 and 1,546.67 is: 2,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.58 : 3,353.02 = 1,546.67 : x
  2. Step 2: Convert to fraction form
    2,430.58/3,353.02 = 1,546.67/x
  3. Step 3: Cross multiply
    2,430.58x = 3,353.02 × 1,546.67
  4. Step 4: Simplify right side
    2,430.58x = 5,186,015.44
  5. Step 5: Solve for x
    x = 5,186,015.44/2,430.58
  6. Step 6: Final answer
    x = 2,133.65

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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.