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Finding the Fourth Proportional to 1,580.76, 2,182.62 and 1,021.57

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Solution

The fourth proportional to 1,580.76, 2,182.62 and 1,021.57 is: 1,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.76 : 2,182.62 = 1,021.57 : x
  2. Step 2: Convert to fraction form
    1,580.76/2,182.62 = 1,021.57/x
  3. Step 3: Cross multiply
    1,580.76x = 2,182.62 × 1,021.57
  4. Step 4: Simplify right side
    1,580.76x = 2,229,699.11
  5. Step 5: Solve for x
    x = 2,229,699.11/1,580.76
  6. Step 6: Final answer
    x = 1,410.52

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