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Finding the Fourth Proportional to 2,534.44, 3,497.20 and 1,415.44

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Solution

The fourth proportional to 2,534.44, 3,497.20 and 1,415.44 is: 1,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.44 : 3,497.20 = 1,415.44 : x
  2. Step 2: Convert to fraction form
    2,534.44/3,497.20 = 1,415.44/x
  3. Step 3: Cross multiply
    2,534.44x = 3,497.20 × 1,415.44
  4. Step 4: Simplify right side
    2,534.44x = 4,950,076.77
  5. Step 5: Solve for x
    x = 4,950,076.77/2,534.44
  6. Step 6: Final answer
    x = 1,953.12

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1.5x scale

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.