Home / 1,460.48-2,190.56-680.16

Finding the Fourth Proportional to 1,460.48, 2,190.56 and 680.16

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Solution

The fourth proportional to 1,460.48, 2,190.56 and 680.16 is: 1,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.48 : 2,190.56 = 680.16 : x
  2. Step 2: Convert to fraction form
    1,460.48/2,190.56 = 680.16/x
  3. Step 3: Cross multiply
    1,460.48x = 2,190.56 × 680.16
  4. Step 4: Simplify right side
    1,460.48x = 1,489,931.29
  5. Step 5: Solve for x
    x = 1,489,931.29/1,460.48
  6. Step 6: Final answer
    x = 1,020.17

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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.