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Finding the Fourth Proportional to 2,442.59, 3,663.50 and 882.35

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Solution

The fourth proportional to 2,442.59, 3,663.50 and 882.35 is: 1,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.59 : 3,663.50 = 882.35 : x
  2. Step 2: Convert to fraction form
    2,442.59/3,663.50 = 882.35/x
  3. Step 3: Cross multiply
    2,442.59x = 3,663.50 × 882.35
  4. Step 4: Simplify right side
    2,442.59x = 3,232,466.50
  5. Step 5: Solve for x
    x = 3,232,466.50/2,442.59
  6. Step 6: Final answer
    x = 1,323.38

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Why These Related Problems?

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