Home / 1,643.52-2,467.80-1,031.16

Finding the Fourth Proportional to 1,643.52, 2,467.80 and 1,031.16

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Solution

The fourth proportional to 1,643.52, 2,467.80 and 1,031.16 is: 1,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.52 : 2,467.80 = 1,031.16 : x
  2. Step 2: Convert to fraction form
    1,643.52/2,467.80 = 1,031.16/x
  3. Step 3: Cross multiply
    1,643.52x = 2,467.80 × 1,031.16
  4. Step 4: Simplify right side
    1,643.52x = 2,544,696.65
  5. Step 5: Solve for x
    x = 2,544,696.65/1,643.52
  6. Step 6: Final answer
    x = 1,548.32

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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.