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Finding the Fourth Proportional to 2,486.48, 3,729.75 and 1,510.64

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Solution

The fourth proportional to 2,486.48, 3,729.75 and 1,510.64 is: 2,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.48 : 3,729.75 = 1,510.64 : x
  2. Step 2: Convert to fraction form
    2,486.48/3,729.75 = 1,510.64/x
  3. Step 3: Cross multiply
    2,486.48x = 3,729.75 × 1,510.64
  4. Step 4: Simplify right side
    2,486.48x = 5,634,309.54
  5. Step 5: Solve for x
    x = 5,634,309.54/2,486.48
  6. Step 6: Final answer
    x = 2,265.98

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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.