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Finding the Fourth Proportional to 2,404.88, 3,317.82 and 1,460.32

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Solution

The fourth proportional to 2,404.88, 3,317.82 and 1,460.32 is: 2,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.88 : 3,317.82 = 1,460.32 : x
  2. Step 2: Convert to fraction form
    2,404.88/3,317.82 = 1,460.32/x
  3. Step 3: Cross multiply
    2,404.88x = 3,317.82 × 1,460.32
  4. Step 4: Simplify right side
    2,404.88x = 4,845,070.73
  5. Step 5: Solve for x
    x = 4,845,070.73/2,404.88
  6. Step 6: Final answer
    x = 2,014.68

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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.