Home / 1,596.04-2,202.84-1,156

Finding the Fourth Proportional to 1,596.04, 2,202.84 and 1,156

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Solution

The fourth proportional to 1,596.04, 2,202.84 and 1,156 is: 1,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.04 : 2,202.84 = 1,156 : x
  2. Step 2: Convert to fraction form
    1,596.04/2,202.84 = 1,156/x
  3. Step 3: Cross multiply
    1,596.04x = 2,202.84 × 1,156
  4. Step 4: Simplify right side
    1,596.04x = 2,546,483.04
  5. Step 5: Solve for x
    x = 2,546,483.04/1,596.04
  6. Step 6: Final answer
    x = 1,595.50

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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.