Home / 2,683.40-3,702.64-1,690

Finding the Fourth Proportional to 2,683.40, 3,702.64 and 1,690

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Solution

The fourth proportional to 2,683.40, 3,702.64 and 1,690 is: 2,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.40 : 3,702.64 = 1,690 : x
  2. Step 2: Convert to fraction form
    2,683.40/3,702.64 = 1,690/x
  3. Step 3: Cross multiply
    2,683.40x = 3,702.64 × 1,690
  4. Step 4: Simplify right side
    2,683.40x = 6,257,461.60
  5. Step 5: Solve for x
    x = 6,257,461.60/2,683.40
  6. Step 6: Final answer
    x = 2,331.92

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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.