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Finding the Fourth Proportional to 2,703.63, 4,053.90 and 1,608.76

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Solution

The fourth proportional to 2,703.63, 4,053.90 and 1,608.76 is: 2,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.63 : 4,053.90 = 1,608.76 : x
  2. Step 2: Convert to fraction form
    2,703.63/4,053.90 = 1,608.76/x
  3. Step 3: Cross multiply
    2,703.63x = 4,053.90 × 1,608.76
  4. Step 4: Simplify right side
    2,703.63x = 6,521,752.16
  5. Step 5: Solve for x
    x = 6,521,752.16/2,703.63
  6. Step 6: Final answer
    x = 2,412.22

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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.