Home / 2,035.10-3,053.01-802.47

Finding the Fourth Proportional to 2,035.10, 3,053.01 and 802.47

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Solution

The fourth proportional to 2,035.10, 3,053.01 and 802.47 is: 1,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.10 : 3,053.01 = 802.47 : x
  2. Step 2: Convert to fraction form
    2,035.10/3,053.01 = 802.47/x
  3. Step 3: Cross multiply
    2,035.10x = 3,053.01 × 802.47
  4. Step 4: Simplify right side
    2,035.10x = 2,449,948.93
  5. Step 5: Solve for x
    x = 2,449,948.93/2,035.10
  6. Step 6: Final answer
    x = 1,203.85

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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.