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Finding the Fourth Proportional to 2,929.68, 4,042.94 and 1,670.94

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Solution

The fourth proportional to 2,929.68, 4,042.94 and 1,670.94 is: 2,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.68 : 4,042.94 = 1,670.94 : x
  2. Step 2: Convert to fraction form
    2,929.68/4,042.94 = 1,670.94/x
  3. Step 3: Cross multiply
    2,929.68x = 4,042.94 × 1,670.94
  4. Step 4: Simplify right side
    2,929.68x = 6,755,510.16
  5. Step 5: Solve for x
    x = 6,755,510.16/2,929.68
  6. Step 6: Final answer
    x = 2,305.89

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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.