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Finding the Fourth Proportional to 2,534.94, 3,497.89 and 1,415.94

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Solution

The fourth proportional to 2,534.94, 3,497.89 and 1,415.94 is: 1,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.94 : 3,497.89 = 1,415.94 : x
  2. Step 2: Convert to fraction form
    2,534.94/3,497.89 = 1,415.94/x
  3. Step 3: Cross multiply
    2,534.94x = 3,497.89 × 1,415.94
  4. Step 4: Simplify right side
    2,534.94x = 4,952,802.37
  5. Step 5: Solve for x
    x = 4,952,802.37/2,534.94
  6. Step 6: Final answer
    x = 1,953.81

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Why These Related Problems?

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