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Finding the Fourth Proportional to 3,315.84, 4,977.60 and 2,001.60

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Solution

The fourth proportional to 3,315.84, 4,977.60 and 2,001.60 is: 3,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.84 : 4,977.60 = 2,001.60 : x
  2. Step 2: Convert to fraction form
    3,315.84/4,977.60 = 2,001.60/x
  3. Step 3: Cross multiply
    3,315.84x = 4,977.60 × 2,001.60
  4. Step 4: Simplify right side
    3,315.84x = 9,963,164.16
  5. Step 5: Solve for x
    x = 9,963,164.16/3,315.84
  6. Step 6: Final answer
    x = 3,004.72

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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.