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Finding the Fourth Proportional to 2,878.03, 4,322.23 and 2,646.48

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Solution

The fourth proportional to 2,878.03, 4,322.23 and 2,646.48 is: 3,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.03 : 4,322.23 = 2,646.48 : x
  2. Step 2: Convert to fraction form
    2,878.03/4,322.23 = 2,646.48/x
  3. Step 3: Cross multiply
    2,878.03x = 4,322.23 × 2,646.48
  4. Step 4: Simplify right side
    2,878.03x = 11,438,688.63
  5. Step 5: Solve for x
    x = 11,438,688.63/2,878.03
  6. Step 6: Final answer
    x = 3,974.49

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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.