Home / 1,685.39-2,325.98-977.24

Finding the Fourth Proportional to 1,685.39, 2,325.98 and 977.24

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Solution

The fourth proportional to 1,685.39, 2,325.98 and 977.24 is: 1,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.39 : 2,325.98 = 977.24 : x
  2. Step 2: Convert to fraction form
    1,685.39/2,325.98 = 977.24/x
  3. Step 3: Cross multiply
    1,685.39x = 2,325.98 × 977.24
  4. Step 4: Simplify right side
    1,685.39x = 2,273,048.95
  5. Step 5: Solve for x
    x = 2,273,048.95/1,685.39
  6. Step 6: Final answer
    x = 1,348.68

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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.