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Finding the Fourth Proportional to 3,254.04, 4,881.24 and 945.60

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Solution

The fourth proportional to 3,254.04, 4,881.24 and 945.60 is: 1,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.04 : 4,881.24 = 945.60 : x
  2. Step 2: Convert to fraction form
    3,254.04/4,881.24 = 945.60/x
  3. Step 3: Cross multiply
    3,254.04x = 4,881.24 × 945.60
  4. Step 4: Simplify right side
    3,254.04x = 4,615,700.54
  5. Step 5: Solve for x
    x = 4,615,700.54/3,254.04
  6. Step 6: Final answer
    x = 1,418.45

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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.