Home / 1,828.39-2,741.81-702.47

Finding the Fourth Proportional to 1,828.39, 2,741.81 and 702.47

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Solution

The fourth proportional to 1,828.39, 2,741.81 and 702.47 is: 1,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.39 : 2,741.81 = 702.47 : x
  2. Step 2: Convert to fraction form
    1,828.39/2,741.81 = 702.47/x
  3. Step 3: Cross multiply
    1,828.39x = 2,741.81 × 702.47
  4. Step 4: Simplify right side
    1,828.39x = 1,926,047.55
  5. Step 5: Solve for x
    x = 1,926,047.55/1,828.39
  6. Step 6: Final answer
    x = 1,053.41

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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.