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Finding the Fourth Proportional to 1,581.24, 2,182.14 and 882.60

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Solution

The fourth proportional to 1,581.24, 2,182.14 and 882.60 is: 1,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.24 : 2,182.14 = 882.60 : x
  2. Step 2: Convert to fraction form
    1,581.24/2,182.14 = 882.60/x
  3. Step 3: Cross multiply
    1,581.24x = 2,182.14 × 882.60
  4. Step 4: Simplify right side
    1,581.24x = 1,925,956.76
  5. Step 5: Solve for x
    x = 1,925,956.76/1,581.24
  6. Step 6: Final answer
    x = 1,218.00

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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.