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Finding the Fourth Proportional to 3,208.84, 4,812.58 and 1,017.76

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Solution

The fourth proportional to 3,208.84, 4,812.58 and 1,017.76 is: 1,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.84 : 4,812.58 = 1,017.76 : x
  2. Step 2: Convert to fraction form
    3,208.84/4,812.58 = 1,017.76/x
  3. Step 3: Cross multiply
    3,208.84x = 4,812.58 × 1,017.76
  4. Step 4: Simplify right side
    3,208.84x = 4,898,051.42
  5. Step 5: Solve for x
    x = 4,898,051.42/3,208.84
  6. Step 6: Final answer
    x = 1,526.42

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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.