Home / 1,564.92-2,359.13-1,459.23

Finding the Fourth Proportional to 1,564.92, 2,359.13 and 1,459.23

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Solution

The fourth proportional to 1,564.92, 2,359.13 and 1,459.23 is: 2,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.92 : 2,359.13 = 1,459.23 : x
  2. Step 2: Convert to fraction form
    1,564.92/2,359.13 = 1,459.23/x
  3. Step 3: Cross multiply
    1,564.92x = 2,359.13 × 1,459.23
  4. Step 4: Simplify right side
    1,564.92x = 3,442,516.92
  5. Step 5: Solve for x
    x = 3,442,516.92/1,564.92
  6. Step 6: Final answer
    x = 2,199.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.