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Finding the Fourth Proportional to 2,533.35, 3,495 and 1,648.83

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Solution

The fourth proportional to 2,533.35, 3,495 and 1,648.83 is: 2,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.35 : 3,495 = 1,648.83 : x
  2. Step 2: Convert to fraction form
    2,533.35/3,495 = 1,648.83/x
  3. Step 3: Cross multiply
    2,533.35x = 3,495 × 1,648.83
  4. Step 4: Simplify right side
    2,533.35x = 5,762,660.85
  5. Step 5: Solve for x
    x = 5,762,660.85/2,533.35
  6. Step 6: Final answer
    x = 2,274.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.