Home / 1,684.94-2,325.33-1,160.06

Finding the Fourth Proportional to 1,684.94, 2,325.33 and 1,160.06

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Solution

The fourth proportional to 1,684.94, 2,325.33 and 1,160.06 is: 1,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.94 : 2,325.33 = 1,160.06 : x
  2. Step 2: Convert to fraction form
    1,684.94/2,325.33 = 1,160.06/x
  3. Step 3: Cross multiply
    1,684.94x = 2,325.33 × 1,160.06
  4. Step 4: Simplify right side
    1,684.94x = 2,697,528.13
  5. Step 5: Solve for x
    x = 2,697,528.13/1,684.94
  6. Step 6: Final answer
    x = 1,600.96

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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.