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Finding the Fourth Proportional to 2,546.00, 3,513.48 and 1,411.67

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Solution

The fourth proportional to 2,546.00, 3,513.48 and 1,411.67 is: 1,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.00 : 3,513.48 = 1,411.67 : x
  2. Step 2: Convert to fraction form
    2,546.00/3,513.48 = 1,411.67/x
  3. Step 3: Cross multiply
    2,546.00x = 3,513.48 × 1,411.67
  4. Step 4: Simplify right side
    2,546.00x = 4,959,860.91
  5. Step 5: Solve for x
    x = 4,959,860.91/2,546.00
  6. Step 6: Final answer
    x = 1,948.10

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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.