Home / 2,050.16-2,829.28-1,166

Finding the Fourth Proportional to 2,050.16, 2,829.28 and 1,166

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Solution

The fourth proportional to 2,050.16, 2,829.28 and 1,166 is: 1,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.16 : 2,829.28 = 1,166 : x
  2. Step 2: Convert to fraction form
    2,050.16/2,829.28 = 1,166/x
  3. Step 3: Cross multiply
    2,050.16x = 2,829.28 × 1,166
  4. Step 4: Simplify right side
    2,050.16x = 3,298,940.48
  5. Step 5: Solve for x
    x = 3,298,940.48/2,050.16
  6. Step 6: Final answer
    x = 1,609.11

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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.