Home / 1,536.13-2,119.98-946.36

Finding the Fourth Proportional to 1,536.13, 2,119.98 and 946.36

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Solution

The fourth proportional to 1,536.13, 2,119.98 and 946.36 is: 1,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.13 : 2,119.98 = 946.36 : x
  2. Step 2: Convert to fraction form
    1,536.13/2,119.98 = 946.36/x
  3. Step 3: Cross multiply
    1,536.13x = 2,119.98 × 946.36
  4. Step 4: Simplify right side
    1,536.13x = 2,006,264.27
  5. Step 5: Solve for x
    x = 2,006,264.27/1,536.13
  6. Step 6: Final answer
    x = 1,306.05

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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.