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Finding the Fourth Proportional to 1,583.75, 2,185.48 and 875.41

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Solution

The fourth proportional to 1,583.75, 2,185.48 and 875.41 is: 1,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.75 : 2,185.48 = 875.41 : x
  2. Step 2: Convert to fraction form
    1,583.75/2,185.48 = 875.41/x
  3. Step 3: Cross multiply
    1,583.75x = 2,185.48 × 875.41
  4. Step 4: Simplify right side
    1,583.75x = 1,913,186.68
  5. Step 5: Solve for x
    x = 1,913,186.68/1,583.75
  6. Step 6: Final answer
    x = 1,208.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.