Home / 1,828.19-2,742.28-595.60

Finding the Fourth Proportional to 1,828.19, 2,742.28 and 595.60

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Solution

The fourth proportional to 1,828.19, 2,742.28 and 595.60 is: 893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.19 : 2,742.28 = 595.60 : x
  2. Step 2: Convert to fraction form
    1,828.19/2,742.28 = 595.60/x
  3. Step 3: Cross multiply
    1,828.19x = 2,742.28 × 595.60
  4. Step 4: Simplify right side
    1,828.19x = 1,633,285.28
  5. Step 5: Solve for x
    x = 1,633,285.28/1,828.19
  6. Step 6: Final answer
    x = 893.39

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Why These Related Problems?

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