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Finding the Fourth Proportional to 3,208.61, 4,811.47 and 1,017.02

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Solution

The fourth proportional to 3,208.61, 4,811.47 and 1,017.02 is: 1,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.61 : 4,811.47 = 1,017.02 : x
  2. Step 2: Convert to fraction form
    3,208.61/4,811.47 = 1,017.02/x
  3. Step 3: Cross multiply
    3,208.61x = 4,811.47 × 1,017.02
  4. Step 4: Simplify right side
    3,208.61x = 4,893,370.71
  5. Step 5: Solve for x
    x = 4,893,370.71/3,208.61
  6. Step 6: Final answer
    x = 1,525.07

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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.