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Finding the Fourth Proportional to 3,047.55, 4,564.92 and 1,582.26

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Solution

The fourth proportional to 3,047.55, 4,564.92 and 1,582.26 is: 2,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.55 : 4,564.92 = 1,582.26 : x
  2. Step 2: Convert to fraction form
    3,047.55/4,564.92 = 1,582.26/x
  3. Step 3: Cross multiply
    3,047.55x = 4,564.92 × 1,582.26
  4. Step 4: Simplify right side
    3,047.55x = 7,222,890.32
  5. Step 5: Solve for x
    x = 7,222,890.32/3,047.55
  6. Step 6: Final answer
    x = 2,370.06

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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.