Home / 1,582.34-2,373.51-428.06

Finding the Fourth Proportional to 1,582.34, 2,373.51 and 428.06

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Solution

The fourth proportional to 1,582.34, 2,373.51 and 428.06 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.34 : 2,373.51 = 428.06 : x
  2. Step 2: Convert to fraction form
    1,582.34/2,373.51 = 428.06/x
  3. Step 3: Cross multiply
    1,582.34x = 2,373.51 × 428.06
  4. Step 4: Simplify right side
    1,582.34x = 1,016,004.69
  5. Step 5: Solve for x
    x = 1,016,004.69/1,582.34
  6. Step 6: Final answer
    x = 642.09

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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.