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Finding the Fourth Proportional to 1,909.83, 2,636.83 and 1,466.94

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Solution

The fourth proportional to 1,909.83, 2,636.83 and 1,466.94 is: 2,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.83 : 2,636.83 = 1,466.94 : x
  2. Step 2: Convert to fraction form
    1,909.83/2,636.83 = 1,466.94/x
  3. Step 3: Cross multiply
    1,909.83x = 2,636.83 × 1,466.94
  4. Step 4: Simplify right side
    1,909.83x = 3,868,071.40
  5. Step 5: Solve for x
    x = 3,868,071.40/1,909.83
  6. Step 6: Final answer
    x = 2,025.35

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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.