Home / 1,546.08-2,306.16-1,398.48

Finding the Fourth Proportional to 1,546.08, 2,306.16 and 1,398.48

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Solution

The fourth proportional to 1,546.08, 2,306.16 and 1,398.48 is: 2,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.08 : 2,306.16 = 1,398.48 : x
  2. Step 2: Convert to fraction form
    1,546.08/2,306.16 = 1,398.48/x
  3. Step 3: Cross multiply
    1,546.08x = 2,306.16 × 1,398.48
  4. Step 4: Simplify right side
    1,546.08x = 3,225,118.64
  5. Step 5: Solve for x
    x = 3,225,118.64/1,546.08
  6. Step 6: Final answer
    x = 2,086.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.