Home / 2,582.56-3,864.90-2,030.14

Finding the Fourth Proportional to 2,582.56, 3,864.90 and 2,030.14

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Solution

The fourth proportional to 2,582.56, 3,864.90 and 2,030.14 is: 3,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.56 : 3,864.90 = 2,030.14 : x
  2. Step 2: Convert to fraction form
    2,582.56/3,864.90 = 2,030.14/x
  3. Step 3: Cross multiply
    2,582.56x = 3,864.90 × 2,030.14
  4. Step 4: Simplify right side
    2,582.56x = 7,846,288.09
  5. Step 5: Solve for x
    x = 7,846,288.09/2,582.56
  6. Step 6: Final answer
    x = 3,038.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.