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Finding the Fourth Proportional to 1,596.51, 2,203.35 and 933.58

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Solution

The fourth proportional to 1,596.51, 2,203.35 and 933.58 is: 1,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.51 : 2,203.35 = 933.58 : x
  2. Step 2: Convert to fraction form
    1,596.51/2,203.35 = 933.58/x
  3. Step 3: Cross multiply
    1,596.51x = 2,203.35 × 933.58
  4. Step 4: Simplify right side
    1,596.51x = 2,057,003.49
  5. Step 5: Solve for x
    x = 2,057,003.49/1,596.51
  6. Step 6: Final answer
    x = 1,288.44

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