Home / 1,534.29-2,300.94-609.68

Finding the Fourth Proportional to 1,534.29, 2,300.94 and 609.68

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Solution

The fourth proportional to 1,534.29, 2,300.94 and 609.68 is: 914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.29 : 2,300.94 = 609.68 : x
  2. Step 2: Convert to fraction form
    1,534.29/2,300.94 = 609.68/x
  3. Step 3: Cross multiply
    1,534.29x = 2,300.94 × 609.68
  4. Step 4: Simplify right side
    1,534.29x = 1,402,825.59
  5. Step 5: Solve for x
    x = 1,402,825.59/1,534.29
  6. Step 6: Final answer
    x = 914.32

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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.