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Finding the Fourth Proportional to 1,820.16, 2,729.48 and 587.24

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Solution

The fourth proportional to 1,820.16, 2,729.48 and 587.24 is: 880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.16 : 2,729.48 = 587.24 : x
  2. Step 2: Convert to fraction form
    1,820.16/2,729.48 = 587.24/x
  3. Step 3: Cross multiply
    1,820.16x = 2,729.48 × 587.24
  4. Step 4: Simplify right side
    1,820.16x = 1,602,859.84
  5. Step 5: Solve for x
    x = 1,602,859.84/1,820.16
  6. Step 6: Final answer
    x = 880.61

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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.