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Finding the Fourth Proportional to 1,596, 2,203.08 and 975

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Solution

The fourth proportional to 1,596, 2,203.08 and 975 is: 1,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596 : 2,203.08 = 975 : x
  2. Step 2: Convert to fraction form
    1,596/2,203.08 = 975/x
  3. Step 3: Cross multiply
    1,596x = 2,203.08 × 975
  4. Step 4: Simplify right side
    1,596x = 2,148,003
  5. Step 5: Solve for x
    x = 2,148,003/1,596
  6. Step 6: Final answer
    x = 1,345.87

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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.