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Finding the Fourth Proportional to 1,875.36, 2,813.05 and 576.82

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Solution

The fourth proportional to 1,875.36, 2,813.05 and 576.82 is: 865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.36 : 2,813.05 = 576.82 : x
  2. Step 2: Convert to fraction form
    1,875.36/2,813.05 = 576.82/x
  3. Step 3: Cross multiply
    1,875.36x = 2,813.05 × 576.82
  4. Step 4: Simplify right side
    1,875.36x = 1,622,623.50
  5. Step 5: Solve for x
    x = 1,622,623.50/1,875.36
  6. Step 6: Final answer
    x = 865.23

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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.