Home / 1,829.24-2,742.17-596.01

Finding the Fourth Proportional to 1,829.24, 2,742.17 and 596.01

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Solution

The fourth proportional to 1,829.24, 2,742.17 and 596.01 is: 893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.24 : 2,742.17 = 596.01 : x
  2. Step 2: Convert to fraction form
    1,829.24/2,742.17 = 596.01/x
  3. Step 3: Cross multiply
    1,829.24x = 2,742.17 × 596.01
  4. Step 4: Simplify right side
    1,829.24x = 1,634,368.04
  5. Step 5: Solve for x
    x = 1,634,368.04/1,829.24
  6. Step 6: Final answer
    x = 893.47

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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.