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Finding the Fourth Proportional to 1,474.79, 2,036.09 and 1,310.77

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Solution

The fourth proportional to 1,474.79, 2,036.09 and 1,310.77 is: 1,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.79 : 2,036.09 = 1,310.77 : x
  2. Step 2: Convert to fraction form
    1,474.79/2,036.09 = 1,310.77/x
  3. Step 3: Cross multiply
    1,474.79x = 2,036.09 × 1,310.77
  4. Step 4: Simplify right side
    1,474.79x = 2,668,828.96
  5. Step 5: Solve for x
    x = 2,668,828.96/1,474.79
  6. Step 6: Final answer
    x = 1,809.63

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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.