Home / 2,966.48-4,090.56-2,082

Finding the Fourth Proportional to 2,966.48, 4,090.56 and 2,082

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Solution

The fourth proportional to 2,966.48, 4,090.56 and 2,082 is: 2,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.48 : 4,090.56 = 2,082 : x
  2. Step 2: Convert to fraction form
    2,966.48/4,090.56 = 2,082/x
  3. Step 3: Cross multiply
    2,966.48x = 4,090.56 × 2,082
  4. Step 4: Simplify right side
    2,966.48x = 8,516,545.92
  5. Step 5: Solve for x
    x = 8,516,545.92/2,966.48
  6. Step 6: Final answer
    x = 2,870.93

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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.