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Finding the Fourth Proportional to 1,872.52, 2,810.64 and 1,529.80

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Solution

The fourth proportional to 1,872.52, 2,810.64 and 1,529.80 is: 2,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.52 : 2,810.64 = 1,529.80 : x
  2. Step 2: Convert to fraction form
    1,872.52/2,810.64 = 1,529.80/x
  3. Step 3: Cross multiply
    1,872.52x = 2,810.64 × 1,529.80
  4. Step 4: Simplify right side
    1,872.52x = 4,299,717.07
  5. Step 5: Solve for x
    x = 4,299,717.07/1,872.52
  6. Step 6: Final answer
    x = 2,296.22

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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.