Home / 1,664.68-2,496.66-510.16

Finding the Fourth Proportional to 1,664.68, 2,496.66 and 510.16

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Solution

The fourth proportional to 1,664.68, 2,496.66 and 510.16 is: 765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.68 : 2,496.66 = 510.16 : x
  2. Step 2: Convert to fraction form
    1,664.68/2,496.66 = 510.16/x
  3. Step 3: Cross multiply
    1,664.68x = 2,496.66 × 510.16
  4. Step 4: Simplify right side
    1,664.68x = 1,273,696.07
  5. Step 5: Solve for x
    x = 1,273,696.07/1,664.68
  6. Step 6: Final answer
    x = 765.13

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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.