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Finding the Fourth Proportional to 1,418.34, 1,957.19 and 1,313.85

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Solution

The fourth proportional to 1,418.34, 1,957.19 and 1,313.85 is: 1,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.34 : 1,957.19 = 1,313.85 : x
  2. Step 2: Convert to fraction form
    1,418.34/1,957.19 = 1,313.85/x
  3. Step 3: Cross multiply
    1,418.34x = 1,957.19 × 1,313.85
  4. Step 4: Simplify right side
    1,418.34x = 2,571,447.51
  5. Step 5: Solve for x
    x = 2,571,447.51/1,418.34
  6. Step 6: Final answer
    x = 1,813.00

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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.