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Finding the Fourth Proportional to 2,405.06, 3,607.52 and 1,316.32

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Solution

The fourth proportional to 2,405.06, 3,607.52 and 1,316.32 is: 1,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.06 : 3,607.52 = 1,316.32 : x
  2. Step 2: Convert to fraction form
    2,405.06/3,607.52 = 1,316.32/x
  3. Step 3: Cross multiply
    2,405.06x = 3,607.52 × 1,316.32
  4. Step 4: Simplify right side
    2,405.06x = 4,748,650.73
  5. Step 5: Solve for x
    x = 4,748,650.73/2,405.06
  6. Step 6: Final answer
    x = 1,974.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.