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Finding the Fourth Proportional to 1,417.89, 1,956.01 and 1,221.06

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Solution

The fourth proportional to 1,417.89, 1,956.01 and 1,221.06 is: 1,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.89 : 1,956.01 = 1,221.06 : x
  2. Step 2: Convert to fraction form
    1,417.89/1,956.01 = 1,221.06/x
  3. Step 3: Cross multiply
    1,417.89x = 1,956.01 × 1,221.06
  4. Step 4: Simplify right side
    1,417.89x = 2,388,405.57
  5. Step 5: Solve for x
    x = 2,388,405.57/1,417.89
  6. Step 6: Final answer
    x = 1,684.48

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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.