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Finding the Fourth Proportional to 1,703.68, 2,352.17 and 1,137.32

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Solution

The fourth proportional to 1,703.68, 2,352.17 and 1,137.32 is: 1,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.68 : 2,352.17 = 1,137.32 : x
  2. Step 2: Convert to fraction form
    1,703.68/2,352.17 = 1,137.32/x
  3. Step 3: Cross multiply
    1,703.68x = 2,352.17 × 1,137.32
  4. Step 4: Simplify right side
    1,703.68x = 2,675,183.12
  5. Step 5: Solve for x
    x = 2,675,183.12/1,703.68
  6. Step 6: Final answer
    x = 1,570.24

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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.