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Finding the Fourth Proportional to 1,580.16, 2,369.92 and 426

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Solution

The fourth proportional to 1,580.16, 2,369.92 and 426 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.16 : 2,369.92 = 426 : x
  2. Step 2: Convert to fraction form
    1,580.16/2,369.92 = 426/x
  3. Step 3: Cross multiply
    1,580.16x = 2,369.92 × 426
  4. Step 4: Simplify right side
    1,580.16x = 1,009,585.92
  5. Step 5: Solve for x
    x = 1,009,585.92/1,580.16
  6. Step 6: Final answer
    x = 638.91

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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.