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Finding the Fourth Proportional to 2,524.65, 3,483.84 and 1,580.40

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Solution

The fourth proportional to 2,524.65, 3,483.84 and 1,580.40 is: 2,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.65 : 3,483.84 = 1,580.40 : x
  2. Step 2: Convert to fraction form
    2,524.65/3,483.84 = 1,580.40/x
  3. Step 3: Cross multiply
    2,524.65x = 3,483.84 × 1,580.40
  4. Step 4: Simplify right side
    2,524.65x = 5,505,860.74
  5. Step 5: Solve for x
    x = 5,505,860.74/2,524.65
  6. Step 6: Final answer
    x = 2,180.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.