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Finding the Fourth Proportional to 1,676.18, 2,313.06 and 930.17

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Solution

The fourth proportional to 1,676.18, 2,313.06 and 930.17 is: 1,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.18 : 2,313.06 = 930.17 : x
  2. Step 2: Convert to fraction form
    1,676.18/2,313.06 = 930.17/x
  3. Step 3: Cross multiply
    1,676.18x = 2,313.06 × 930.17
  4. Step 4: Simplify right side
    1,676.18x = 2,151,539.02
  5. Step 5: Solve for x
    x = 2,151,539.02/1,676.18
  6. Step 6: Final answer
    x = 1,283.60

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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.