Home / 1,973.20-2,959.14-802.90

Finding the Fourth Proportional to 1,973.20, 2,959.14 and 802.90

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Solution

The fourth proportional to 1,973.20, 2,959.14 and 802.90 is: 1,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.20 : 2,959.14 = 802.90 : x
  2. Step 2: Convert to fraction form
    1,973.20/2,959.14 = 802.90/x
  3. Step 3: Cross multiply
    1,973.20x = 2,959.14 × 802.90
  4. Step 4: Simplify right side
    1,973.20x = 2,375,893.51
  5. Step 5: Solve for x
    x = 2,375,893.51/1,973.20
  6. Step 6: Final answer
    x = 1,204.08

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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.