Home / 1,643.02-2,267.20-1,013.46

Finding the Fourth Proportional to 1,643.02, 2,267.20 and 1,013.46

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Solution

The fourth proportional to 1,643.02, 2,267.20 and 1,013.46 is: 1,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.02 : 2,267.20 = 1,013.46 : x
  2. Step 2: Convert to fraction form
    1,643.02/2,267.20 = 1,013.46/x
  3. Step 3: Cross multiply
    1,643.02x = 2,267.20 × 1,013.46
  4. Step 4: Simplify right side
    1,643.02x = 2,297,716.51
  5. Step 5: Solve for x
    x = 2,297,716.51/1,643.02
  6. Step 6: Final answer
    x = 1,398.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.