Home / 1,823.04-2,734.98-524.46

Finding the Fourth Proportional to 1,823.04, 2,734.98 and 524.46

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Solution

The fourth proportional to 1,823.04, 2,734.98 and 524.46 is: 786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.04 : 2,734.98 = 524.46 : x
  2. Step 2: Convert to fraction form
    1,823.04/2,734.98 = 524.46/x
  3. Step 3: Cross multiply
    1,823.04x = 2,734.98 × 524.46
  4. Step 4: Simplify right side
    1,823.04x = 1,434,387.61
  5. Step 5: Solve for x
    x = 1,434,387.61/1,823.04
  6. Step 6: Final answer
    x = 786.81

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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.