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Finding the Fourth Proportional to 1,686.32, 2,533.62 and 1,593.08

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Solution

The fourth proportional to 1,686.32, 2,533.62 and 1,593.08 is: 2,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.32 : 2,533.62 = 1,593.08 : x
  2. Step 2: Convert to fraction form
    1,686.32/2,533.62 = 1,593.08/x
  3. Step 3: Cross multiply
    1,686.32x = 2,533.62 × 1,593.08
  4. Step 4: Simplify right side
    1,686.32x = 4,036,259.35
  5. Step 5: Solve for x
    x = 4,036,259.35/1,686.32
  6. Step 6: Final answer
    x = 2,393.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.