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Finding the Fourth Proportional to 1,214.33, 1,827.86 and 1,101.33

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Solution

The fourth proportional to 1,214.33, 1,827.86 and 1,101.33 is: 1,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.33 : 1,827.86 = 1,101.33 : x
  2. Step 2: Convert to fraction form
    1,214.33/1,827.86 = 1,101.33/x
  3. Step 3: Cross multiply
    1,214.33x = 1,827.86 × 1,101.33
  4. Step 4: Simplify right side
    1,214.33x = 2,013,071.55
  5. Step 5: Solve for x
    x = 2,013,071.55/1,214.33
  6. Step 6: Final answer
    x = 1,657.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.