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Finding the Fourth Proportional to 2,903.68, 4,352.94 and 1,053.64

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Solution

The fourth proportional to 2,903.68, 4,352.94 and 1,053.64 is: 1,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.68 : 4,352.94 = 1,053.64 : x
  2. Step 2: Convert to fraction form
    2,903.68/4,352.94 = 1,053.64/x
  3. Step 3: Cross multiply
    2,903.68x = 4,352.94 × 1,053.64
  4. Step 4: Simplify right side
    2,903.68x = 4,586,431.70
  5. Step 5: Solve for x
    x = 4,586,431.70/2,903.68
  6. Step 6: Final answer
    x = 1,579.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.