Home / 1,446.36-1,996.45-916.13

Finding the Fourth Proportional to 1,446.36, 1,996.45 and 916.13

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Solution

The fourth proportional to 1,446.36, 1,996.45 and 916.13 is: 1,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.36 : 1,996.45 = 916.13 : x
  2. Step 2: Convert to fraction form
    1,446.36/1,996.45 = 916.13/x
  3. Step 3: Cross multiply
    1,446.36x = 1,996.45 × 916.13
  4. Step 4: Simplify right side
    1,446.36x = 1,828,999.21
  5. Step 5: Solve for x
    x = 1,828,999.21/1,446.36
  6. Step 6: Final answer
    x = 1,264.56

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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.