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Finding the Fourth Proportional to 1,828.21, 2,742.69 and 595.93

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Solution

The fourth proportional to 1,828.21, 2,742.69 and 595.93 is: 894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.21 : 2,742.69 = 595.93 : x
  2. Step 2: Convert to fraction form
    1,828.21/2,742.69 = 595.93/x
  3. Step 3: Cross multiply
    1,828.21x = 2,742.69 × 595.93
  4. Step 4: Simplify right side
    1,828.21x = 1,634,451.25
  5. Step 5: Solve for x
    x = 1,634,451.25/1,828.21
  6. Step 6: Final answer
    x = 894.02

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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.