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Finding the Fourth Proportional to 2,606.36, 3,596.65 and 1,472.00

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Solution

The fourth proportional to 2,606.36, 3,596.65 and 1,472.00 is: 2,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.36 : 3,596.65 = 1,472.00 : x
  2. Step 2: Convert to fraction form
    2,606.36/3,596.65 = 1,472.00/x
  3. Step 3: Cross multiply
    2,606.36x = 3,596.65 × 1,472.00
  4. Step 4: Simplify right side
    2,606.36x = 5,294,247.14
  5. Step 5: Solve for x
    x = 5,294,247.14/2,606.36
  6. Step 6: Final answer
    x = 2,031.28

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