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Finding the Fourth Proportional to 2,154.02, 2,971.77 and 1,221.98

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Solution

The fourth proportional to 2,154.02, 2,971.77 and 1,221.98 is: 1,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.02 : 2,971.77 = 1,221.98 : x
  2. Step 2: Convert to fraction form
    2,154.02/2,971.77 = 1,221.98/x
  3. Step 3: Cross multiply
    2,154.02x = 2,971.77 × 1,221.98
  4. Step 4: Simplify right side
    2,154.02x = 3,631,443.50
  5. Step 5: Solve for x
    x = 3,631,443.50/2,154.02
  6. Step 6: Final answer
    x = 1,685.89

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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.