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Finding the Fourth Proportional to 2,541.36, 3,484.68 and 2,291.68

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Solution

The fourth proportional to 2,541.36, 3,484.68 and 2,291.68 is: 3,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.36 : 3,484.68 = 2,291.68 : x
  2. Step 2: Convert to fraction form
    2,541.36/3,484.68 = 2,291.68/x
  3. Step 3: Cross multiply
    2,541.36x = 3,484.68 × 2,291.68
  4. Step 4: Simplify right side
    2,541.36x = 7,985,771.46
  5. Step 5: Solve for x
    x = 7,985,771.46/2,541.36
  6. Step 6: Final answer
    x = 3,142.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.