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Finding the Fourth Proportional to 2,430.95, 3,353.64 and 1,546.28

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Solution

The fourth proportional to 2,430.95, 3,353.64 and 1,546.28 is: 2,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.95 : 3,353.64 = 1,546.28 : x
  2. Step 2: Convert to fraction form
    2,430.95/3,353.64 = 1,546.28/x
  3. Step 3: Cross multiply
    2,430.95x = 3,353.64 × 1,546.28
  4. Step 4: Simplify right side
    2,430.95x = 5,185,649.69
  5. Step 5: Solve for x
    x = 5,185,649.69/2,430.95
  6. Step 6: Final answer
    x = 2,133.18

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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.