Home / 1,617.40-2,426.82-577.72

Finding the Fourth Proportional to 1,617.40, 2,426.82 and 577.72

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Solution

The fourth proportional to 1,617.40, 2,426.82 and 577.72 is: 866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.40 : 2,426.82 = 577.72 : x
  2. Step 2: Convert to fraction form
    1,617.40/2,426.82 = 577.72/x
  3. Step 3: Cross multiply
    1,617.40x = 2,426.82 × 577.72
  4. Step 4: Simplify right side
    1,617.40x = 1,402,022.45
  5. Step 5: Solve for x
    x = 1,402,022.45/1,617.40
  6. Step 6: Final answer
    x = 866.84

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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.