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Finding the Fourth Proportional to 1,820, 2,729.88 and 587.08

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Solution

The fourth proportional to 1,820, 2,729.88 and 587.08 is: 880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820 : 2,729.88 = 587.08 : x
  2. Step 2: Convert to fraction form
    1,820/2,729.88 = 587.08/x
  3. Step 3: Cross multiply
    1,820x = 2,729.88 × 587.08
  4. Step 4: Simplify right side
    1,820x = 1,602,657.95
  5. Step 5: Solve for x
    x = 1,602,657.95/1,820
  6. Step 6: Final answer
    x = 880.58

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