Home / 1,416.31-2,122.29-594.13

Finding the Fourth Proportional to 1,416.31, 2,122.29 and 594.13

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Solution

The fourth proportional to 1,416.31, 2,122.29 and 594.13 is: 890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.31 : 2,122.29 = 594.13 : x
  2. Step 2: Convert to fraction form
    1,416.31/2,122.29 = 594.13/x
  3. Step 3: Cross multiply
    1,416.31x = 2,122.29 × 594.13
  4. Step 4: Simplify right side
    1,416.31x = 1,260,916.16
  5. Step 5: Solve for x
    x = 1,260,916.16/1,416.31
  6. Step 6: Final answer
    x = 890.28

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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.