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Finding the Fourth Proportional to 3,027.48, 4,541.20 and 947.51

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Solution

The fourth proportional to 3,027.48, 4,541.20 and 947.51 is: 1,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.48 : 4,541.20 = 947.51 : x
  2. Step 2: Convert to fraction form
    3,027.48/4,541.20 = 947.51/x
  3. Step 3: Cross multiply
    3,027.48x = 4,541.20 × 947.51
  4. Step 4: Simplify right side
    3,027.48x = 4,302,804.97
  5. Step 5: Solve for x
    x = 4,302,804.97/3,027.48
  6. Step 6: Final answer
    x = 1,421.25

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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.