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Finding the Fourth Proportional to 2,405.47, 3,319.55 and 1,301.47

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Solution

The fourth proportional to 2,405.47, 3,319.55 and 1,301.47 is: 1,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.47 : 3,319.55 = 1,301.47 : x
  2. Step 2: Convert to fraction form
    2,405.47/3,319.55 = 1,301.47/x
  3. Step 3: Cross multiply
    2,405.47x = 3,319.55 × 1,301.47
  4. Step 4: Simplify right side
    2,405.47x = 4,320,294.74
  5. Step 5: Solve for x
    x = 4,320,294.74/2,405.47
  6. Step 6: Final answer
    x = 1,796.03

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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.