Home / 1,583.44-2,185.75-1,417.36

Finding the Fourth Proportional to 1,583.44, 2,185.75 and 1,417.36

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Solution

The fourth proportional to 1,583.44, 2,185.75 and 1,417.36 is: 1,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.44 : 2,185.75 = 1,417.36 : x
  2. Step 2: Convert to fraction form
    1,583.44/2,185.75 = 1,417.36/x
  3. Step 3: Cross multiply
    1,583.44x = 2,185.75 × 1,417.36
  4. Step 4: Simplify right side
    1,583.44x = 3,097,983.69
  5. Step 5: Solve for x
    x = 3,097,983.69/1,583.44
  6. Step 6: Final answer
    x = 1,956.50

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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.