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Finding the Fourth Proportional to 3,103.16, 4,655.02 and 882.02

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Solution

The fourth proportional to 3,103.16, 4,655.02 and 882.02 is: 1,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.16 : 4,655.02 = 882.02 : x
  2. Step 2: Convert to fraction form
    3,103.16/4,655.02 = 882.02/x
  3. Step 3: Cross multiply
    3,103.16x = 4,655.02 × 882.02
  4. Step 4: Simplify right side
    3,103.16x = 4,105,820.74
  5. Step 5: Solve for x
    x = 4,105,820.74/3,103.16
  6. Step 6: Final answer
    x = 1,323.11

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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.