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Finding the Fourth Proportional to 2,663.56, 3,677.29 and 2,368.01

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Solution

The fourth proportional to 2,663.56, 3,677.29 and 2,368.01 is: 3,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.56 : 3,677.29 = 2,368.01 : x
  2. Step 2: Convert to fraction form
    2,663.56/3,677.29 = 2,368.01/x
  3. Step 3: Cross multiply
    2,663.56x = 3,677.29 × 2,368.01
  4. Step 4: Simplify right side
    2,663.56x = 8,707,866.84
  5. Step 5: Solve for x
    x = 8,707,866.84/2,663.56
  6. Step 6: Final answer
    x = 3,269.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.