Home / 1,656.73-2,285.14-1,159.49

Finding the Fourth Proportional to 1,656.73, 2,285.14 and 1,159.49

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Solution

The fourth proportional to 1,656.73, 2,285.14 and 1,159.49 is: 1,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.73 : 2,285.14 = 1,159.49 : x
  2. Step 2: Convert to fraction form
    1,656.73/2,285.14 = 1,159.49/x
  3. Step 3: Cross multiply
    1,656.73x = 2,285.14 × 1,159.49
  4. Step 4: Simplify right side
    1,656.73x = 2,649,596.98
  5. Step 5: Solve for x
    x = 2,649,596.98/1,656.73
  6. Step 6: Final answer
    x = 1,599.29

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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.