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Finding the Fourth Proportional to 1,732.08, 2,392.08 and 1,495.56

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Solution

The fourth proportional to 1,732.08, 2,392.08 and 1,495.56 is: 2,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.08 : 2,392.08 = 1,495.56 : x
  2. Step 2: Convert to fraction form
    1,732.08/2,392.08 = 1,495.56/x
  3. Step 3: Cross multiply
    1,732.08x = 2,392.08 × 1,495.56
  4. Step 4: Simplify right side
    1,732.08x = 3,577,499.16
  5. Step 5: Solve for x
    x = 3,577,499.16/1,732.08
  6. Step 6: Final answer
    x = 2,065.44

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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.