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Finding the Fourth Proportional to 1,636.74, 2,260.91 and 1,307.48

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Solution

The fourth proportional to 1,636.74, 2,260.91 and 1,307.48 is: 1,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.74 : 2,260.91 = 1,307.48 : x
  2. Step 2: Convert to fraction form
    1,636.74/2,260.91 = 1,307.48/x
  3. Step 3: Cross multiply
    1,636.74x = 2,260.91 × 1,307.48
  4. Step 4: Simplify right side
    1,636.74x = 2,956,086.57
  5. Step 5: Solve for x
    x = 2,956,086.57/1,636.74
  6. Step 6: Final answer
    x = 1,806.08

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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.