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Finding the Fourth Proportional to 2,047.21, 3,068.25 and 875.84

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Solution

The fourth proportional to 2,047.21, 3,068.25 and 875.84 is: 1,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.21 : 3,068.25 = 875.84 : x
  2. Step 2: Convert to fraction form
    2,047.21/3,068.25 = 875.84/x
  3. Step 3: Cross multiply
    2,047.21x = 3,068.25 × 875.84
  4. Step 4: Simplify right side
    2,047.21x = 2,687,296.08
  5. Step 5: Solve for x
    x = 2,687,296.08/2,047.21
  6. Step 6: Final answer
    x = 1,312.66

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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.