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Finding the Fourth Proportional to 3,253.93, 4,881.38 and 945.13

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Solution

The fourth proportional to 3,253.93, 4,881.38 and 945.13 is: 1,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.93 : 4,881.38 = 945.13 : x
  2. Step 2: Convert to fraction form
    3,253.93/4,881.38 = 945.13/x
  3. Step 3: Cross multiply
    3,253.93x = 4,881.38 × 945.13
  4. Step 4: Simplify right side
    3,253.93x = 4,613,538.68
  5. Step 5: Solve for x
    x = 4,613,538.68/3,253.93
  6. Step 6: Final answer
    x = 1,417.84

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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.