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Finding the Fourth Proportional to 2,104.78, 2,904.78 and 1,265.62

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Solution

The fourth proportional to 2,104.78, 2,904.78 and 1,265.62 is: 1,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.78 : 2,904.78 = 1,265.62 : x
  2. Step 2: Convert to fraction form
    2,104.78/2,904.78 = 1,265.62/x
  3. Step 3: Cross multiply
    2,104.78x = 2,904.78 × 1,265.62
  4. Step 4: Simplify right side
    2,104.78x = 3,676,347.66
  5. Step 5: Solve for x
    x = 3,676,347.66/2,104.78
  6. Step 6: Final answer
    x = 1,746.67

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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.