Home / 1,830.65-2,746.07-496.43

Finding the Fourth Proportional to 1,830.65, 2,746.07 and 496.43

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Solution

The fourth proportional to 1,830.65, 2,746.07 and 496.43 is: 744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.65 : 2,746.07 = 496.43 : x
  2. Step 2: Convert to fraction form
    1,830.65/2,746.07 = 496.43/x
  3. Step 3: Cross multiply
    1,830.65x = 2,746.07 × 496.43
  4. Step 4: Simplify right side
    1,830.65x = 1,363,215.32
  5. Step 5: Solve for x
    x = 1,363,215.32/1,830.65
  6. Step 6: Final answer
    x = 744.66

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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.