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Finding the Fourth Proportional to 2,405.99, 3,319.62 and 1,397.34

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Solution

The fourth proportional to 2,405.99, 3,319.62 and 1,397.34 is: 1,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.99 : 3,319.62 = 1,397.34 : x
  2. Step 2: Convert to fraction form
    2,405.99/3,319.62 = 1,397.34/x
  3. Step 3: Cross multiply
    2,405.99x = 3,319.62 × 1,397.34
  4. Step 4: Simplify right side
    2,405.99x = 4,638,637.81
  5. Step 5: Solve for x
    x = 4,638,637.81/2,405.99
  6. Step 6: Final answer
    x = 1,927.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.