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Finding the Fourth Proportional to 1,676.60, 2,312.06 and 1,544.17

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Solution

The fourth proportional to 1,676.60, 2,312.06 and 1,544.17 is: 2,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.60 : 2,312.06 = 1,544.17 : x
  2. Step 2: Convert to fraction form
    1,676.60/2,312.06 = 1,544.17/x
  3. Step 3: Cross multiply
    1,676.60x = 2,312.06 × 1,544.17
  4. Step 4: Simplify right side
    1,676.60x = 3,570,213.69
  5. Step 5: Solve for x
    x = 3,570,213.69/1,676.60
  6. Step 6: Final answer
    x = 2,129.44

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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.