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Finding the Fourth Proportional to 2,900.86, 4,001.65 and 1,705.62

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Solution

The fourth proportional to 2,900.86, 4,001.65 and 1,705.62 is: 2,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.86 : 4,001.65 = 1,705.62 : x
  2. Step 2: Convert to fraction form
    2,900.86/4,001.65 = 1,705.62/x
  3. Step 3: Cross multiply
    2,900.86x = 4,001.65 × 1,705.62
  4. Step 4: Simplify right side
    2,900.86x = 6,825,294.27
  5. Step 5: Solve for x
    x = 6,825,294.27/2,900.86
  6. Step 6: Final answer
    x = 2,352.85

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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.