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Finding the Fourth Proportional to 2,406.88, 3,605.66 and 1,582.66

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Solution

The fourth proportional to 2,406.88, 3,605.66 and 1,582.66 is: 2,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.88 : 3,605.66 = 1,582.66 : x
  2. Step 2: Convert to fraction form
    2,406.88/3,605.66 = 1,582.66/x
  3. Step 3: Cross multiply
    2,406.88x = 3,605.66 × 1,582.66
  4. Step 4: Simplify right side
    2,406.88x = 5,706,533.86
  5. Step 5: Solve for x
    x = 5,706,533.86/2,406.88
  6. Step 6: Final answer
    x = 2,370.93

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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.