Home / 1,546.85-2,328.71-1,410.77

Finding the Fourth Proportional to 1,546.85, 2,328.71 and 1,410.77

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Solution

The fourth proportional to 1,546.85, 2,328.71 and 1,410.77 is: 2,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.85 : 2,328.71 = 1,410.77 : x
  2. Step 2: Convert to fraction form
    1,546.85/2,328.71 = 1,410.77/x
  3. Step 3: Cross multiply
    1,546.85x = 2,328.71 × 1,410.77
  4. Step 4: Simplify right side
    1,546.85x = 3,285,274.21
  5. Step 5: Solve for x
    x = 3,285,274.21/1,546.85
  6. Step 6: Final answer
    x = 2,123.85

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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.