Home / 3,023.25-4,534.66-802.04

Finding the Fourth Proportional to 3,023.25, 4,534.66 and 802.04

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Solution

The fourth proportional to 3,023.25, 4,534.66 and 802.04 is: 1,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.25 : 4,534.66 = 802.04 : x
  2. Step 2: Convert to fraction form
    3,023.25/4,534.66 = 802.04/x
  3. Step 3: Cross multiply
    3,023.25x = 4,534.66 × 802.04
  4. Step 4: Simplify right side
    3,023.25x = 3,636,969.42
  5. Step 5: Solve for x
    x = 3,636,969.42/3,023.25
  6. Step 6: Final answer
    x = 1,203.00

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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.