Home / 1,731.67-2,597.49-433.13

Finding the Fourth Proportional to 1,731.67, 2,597.49 and 433.13

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Solution

The fourth proportional to 1,731.67, 2,597.49 and 433.13 is: 649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.67 : 2,597.49 = 433.13 : x
  2. Step 2: Convert to fraction form
    1,731.67/2,597.49 = 433.13/x
  3. Step 3: Cross multiply
    1,731.67x = 2,597.49 × 433.13
  4. Step 4: Simplify right side
    1,731.67x = 1,125,050.84
  5. Step 5: Solve for x
    x = 1,125,050.84/1,731.67
  6. Step 6: Final answer
    x = 649.69

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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.