Home / 1,730.45-2,595.47-431.82

Finding the Fourth Proportional to 1,730.45, 2,595.47 and 431.82

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Solution

The fourth proportional to 1,730.45, 2,595.47 and 431.82 is: 647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.45 : 2,595.47 = 431.82 : x
  2. Step 2: Convert to fraction form
    1,730.45/2,595.47 = 431.82/x
  3. Step 3: Cross multiply
    1,730.45x = 2,595.47 × 431.82
  4. Step 4: Simplify right side
    1,730.45x = 1,120,773.70
  5. Step 5: Solve for x
    x = 1,120,773.70/1,730.45
  6. Step 6: Final answer
    x = 647.68

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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.