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Finding the Fourth Proportional to 1,674.74, 2,306.16 and 1,436.91

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Solution

The fourth proportional to 1,674.74, 2,306.16 and 1,436.91 is: 1,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.74 : 2,306.16 = 1,436.91 : x
  2. Step 2: Convert to fraction form
    1,674.74/2,306.16 = 1,436.91/x
  3. Step 3: Cross multiply
    1,674.74x = 2,306.16 × 1,436.91
  4. Step 4: Simplify right side
    1,674.74x = 3,313,744.37
  5. Step 5: Solve for x
    x = 3,313,744.37/1,674.74
  6. Step 6: Final answer
    x = 1,978.66

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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.