Home / 1,534.13-2,301.60-803.51

Finding the Fourth Proportional to 1,534.13, 2,301.60 and 803.51

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Solution

The fourth proportional to 1,534.13, 2,301.60 and 803.51 is: 1,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.13 : 2,301.60 = 803.51 : x
  2. Step 2: Convert to fraction form
    1,534.13/2,301.60 = 803.51/x
  3. Step 3: Cross multiply
    1,534.13x = 2,301.60 × 803.51
  4. Step 4: Simplify right side
    1,534.13x = 1,849,358.62
  5. Step 5: Solve for x
    x = 1,849,358.62/1,534.13
  6. Step 6: Final answer
    x = 1,205.48

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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.