Home / 1,605.80-2,214.32-1,428.96

Finding the Fourth Proportional to 1,605.80, 2,214.32 and 1,428.96

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Solution

The fourth proportional to 1,605.80, 2,214.32 and 1,428.96 is: 1,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.80 : 2,214.32 = 1,428.96 : x
  2. Step 2: Convert to fraction form
    1,605.80/2,214.32 = 1,428.96/x
  3. Step 3: Cross multiply
    1,605.80x = 2,214.32 × 1,428.96
  4. Step 4: Simplify right side
    1,605.80x = 3,164,174.71
  5. Step 5: Solve for x
    x = 3,164,174.71/1,605.80
  6. Step 6: Final answer
    x = 1,970.47

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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.