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Finding the Fourth Proportional to 2,129.61, 2,938.87 and 1,185.49

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Solution

The fourth proportional to 2,129.61, 2,938.87 and 1,185.49 is: 1,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.61 : 2,938.87 = 1,185.49 : x
  2. Step 2: Convert to fraction form
    2,129.61/2,938.87 = 1,185.49/x
  3. Step 3: Cross multiply
    2,129.61x = 2,938.87 × 1,185.49
  4. Step 4: Simplify right side
    2,129.61x = 3,484,001.00
  5. Step 5: Solve for x
    x = 3,484,001.00/2,129.61
  6. Step 6: Final answer
    x = 1,635.98

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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.