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Finding the Fourth Proportional to 1,816.49, 2,725.00 and 583.49

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Solution

The fourth proportional to 1,816.49, 2,725.00 and 583.49 is: 875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.49 : 2,725.00 = 583.49 : x
  2. Step 2: Convert to fraction form
    1,816.49/2,725.00 = 583.49/x
  3. Step 3: Cross multiply
    1,816.49x = 2,725.00 × 583.49
  4. Step 4: Simplify right side
    1,816.49x = 1,590,012.18
  5. Step 5: Solve for x
    x = 1,590,012.18/1,816.49
  6. Step 6: Final answer
    x = 875.32

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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.