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Finding the Fourth Proportional to 1,580.99, 2,181.99 and 1,140.35

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Solution

The fourth proportional to 1,580.99, 2,181.99 and 1,140.35 is: 1,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.99 : 2,181.99 = 1,140.35 : x
  2. Step 2: Convert to fraction form
    1,580.99/2,181.99 = 1,140.35/x
  3. Step 3: Cross multiply
    1,580.99x = 2,181.99 × 1,140.35
  4. Step 4: Simplify right side
    1,580.99x = 2,488,232.30
  5. Step 5: Solve for x
    x = 2,488,232.30/1,580.99
  6. Step 6: Final answer
    x = 1,573.84

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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.