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Finding the Fourth Proportional to 2,342.06, 3,510.92 and 882.18

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Solution

The fourth proportional to 2,342.06, 3,510.92 and 882.18 is: 1,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.06 : 3,510.92 = 882.18 : x
  2. Step 2: Convert to fraction form
    2,342.06/3,510.92 = 882.18/x
  3. Step 3: Cross multiply
    2,342.06x = 3,510.92 × 882.18
  4. Step 4: Simplify right side
    2,342.06x = 3,097,263.41
  5. Step 5: Solve for x
    x = 3,097,263.41/2,342.06
  6. Step 6: Final answer
    x = 1,322.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.