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Finding the Fourth Proportional to 2,129.04, 2,938.80 and 1,605.12

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Solution

The fourth proportional to 2,129.04, 2,938.80 and 1,605.12 is: 2,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.04 : 2,938.80 = 1,605.12 : x
  2. Step 2: Convert to fraction form
    2,129.04/2,938.80 = 1,605.12/x
  3. Step 3: Cross multiply
    2,129.04x = 2,938.80 × 1,605.12
  4. Step 4: Simplify right side
    2,129.04x = 4,717,126.66
  5. Step 5: Solve for x
    x = 4,717,126.66/2,129.04
  6. Step 6: Final answer
    x = 2,215.61

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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.