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Finding the Fourth Proportional to 1,606.24, 2,409.64 and 580

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Solution

The fourth proportional to 1,606.24, 2,409.64 and 580 is: 870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.24 : 2,409.64 = 580 : x
  2. Step 2: Convert to fraction form
    1,606.24/2,409.64 = 580/x
  3. Step 3: Cross multiply
    1,606.24x = 2,409.64 × 580
  4. Step 4: Simplify right side
    1,606.24x = 1,397,591.20
  5. Step 5: Solve for x
    x = 1,397,591.20/1,606.24
  6. Step 6: Final answer
    x = 870.10

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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.