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Finding the Fourth Proportional to 2,913, 4,019.80 and 1,586.62

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Solution

The fourth proportional to 2,913, 4,019.80 and 1,586.62 is: 2,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913 : 4,019.80 = 1,586.62 : x
  2. Step 2: Convert to fraction form
    2,913/4,019.80 = 1,586.62/x
  3. Step 3: Cross multiply
    2,913x = 4,019.80 × 1,586.62
  4. Step 4: Simplify right side
    2,913x = 6,377,895.08
  5. Step 5: Solve for x
    x = 6,377,895.08/2,913
  6. Step 6: Final answer
    x = 2,189.46

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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.