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Finding the Fourth Proportional to 2,703.49, 4,053.59 and 1,315.43

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Solution

The fourth proportional to 2,703.49, 4,053.59 and 1,315.43 is: 1,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.49 : 4,053.59 = 1,315.43 : x
  2. Step 2: Convert to fraction form
    2,703.49/4,053.59 = 1,315.43/x
  3. Step 3: Cross multiply
    2,703.49x = 4,053.59 × 1,315.43
  4. Step 4: Simplify right side
    2,703.49x = 5,332,196.91
  5. Step 5: Solve for x
    x = 5,332,196.91/2,703.49
  6. Step 6: Final answer
    x = 1,972.34

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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.