Home / 1,677.87-2,314.14-1,566.09

Finding the Fourth Proportional to 1,677.87, 2,314.14 and 1,566.09

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Solution

The fourth proportional to 1,677.87, 2,314.14 and 1,566.09 is: 2,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.87 : 2,314.14 = 1,566.09 : x
  2. Step 2: Convert to fraction form
    1,677.87/2,314.14 = 1,566.09/x
  3. Step 3: Cross multiply
    1,677.87x = 2,314.14 × 1,566.09
  4. Step 4: Simplify right side
    1,677.87x = 3,624,151.51
  5. Step 5: Solve for x
    x = 3,624,151.51/1,677.87
  6. Step 6: Final answer
    x = 2,159.97

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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.