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Finding the Fourth Proportional to 2,174.09, 2,999.90 and 1,428.35

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Solution

The fourth proportional to 2,174.09, 2,999.90 and 1,428.35 is: 1,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.09 : 2,999.90 = 1,428.35 : x
  2. Step 2: Convert to fraction form
    2,174.09/2,999.90 = 1,428.35/x
  3. Step 3: Cross multiply
    2,174.09x = 2,999.90 × 1,428.35
  4. Step 4: Simplify right side
    2,174.09x = 4,284,895.74
  5. Step 5: Solve for x
    x = 4,284,895.74/2,174.09
  6. Step 6: Final answer
    x = 1,970.90

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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.