Home / 2,189.40-3,283.14-802.29

Finding the Fourth Proportional to 2,189.40, 3,283.14 and 802.29

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Solution

The fourth proportional to 2,189.40, 3,283.14 and 802.29 is: 1,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.40 : 3,283.14 = 802.29 : x
  2. Step 2: Convert to fraction form
    2,189.40/3,283.14 = 802.29/x
  3. Step 3: Cross multiply
    2,189.40x = 3,283.14 × 802.29
  4. Step 4: Simplify right side
    2,189.40x = 2,634,030.39
  5. Step 5: Solve for x
    x = 2,634,030.39/2,189.40
  6. Step 6: Final answer
    x = 1,203.08

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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.