Home / 1,484.24-2,048.16-821.04

Finding the Fourth Proportional to 1,484.24, 2,048.16 and 821.04

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Solution

The fourth proportional to 1,484.24, 2,048.16 and 821.04 is: 1,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.24 : 2,048.16 = 821.04 : x
  2. Step 2: Convert to fraction form
    1,484.24/2,048.16 = 821.04/x
  3. Step 3: Cross multiply
    1,484.24x = 2,048.16 × 821.04
  4. Step 4: Simplify right side
    1,484.24x = 1,681,621.29
  5. Step 5: Solve for x
    x = 1,681,621.29/1,484.24
  6. Step 6: Final answer
    x = 1,132.99

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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.