Home / 1,546.14-2,316.12-929.51

Finding the Fourth Proportional to 1,546.14, 2,316.12 and 929.51

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Solution

The fourth proportional to 1,546.14, 2,316.12 and 929.51 is: 1,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.14 : 2,316.12 = 929.51 : x
  2. Step 2: Convert to fraction form
    1,546.14/2,316.12 = 929.51/x
  3. Step 3: Cross multiply
    1,546.14x = 2,316.12 × 929.51
  4. Step 4: Simplify right side
    1,546.14x = 2,152,856.70
  5. Step 5: Solve for x
    x = 2,152,856.70/1,546.14
  6. Step 6: Final answer
    x = 1,392.41

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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.