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Finding the Fourth Proportional to 2,538.76, 3,504.23 and 1,476.77

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Solution

The fourth proportional to 2,538.76, 3,504.23 and 1,476.77 is: 2,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.76 : 3,504.23 = 1,476.77 : x
  2. Step 2: Convert to fraction form
    2,538.76/3,504.23 = 1,476.77/x
  3. Step 3: Cross multiply
    2,538.76x = 3,504.23 × 1,476.77
  4. Step 4: Simplify right side
    2,538.76x = 5,174,941.74
  5. Step 5: Solve for x
    x = 5,174,941.74/2,538.76
  6. Step 6: Final answer
    x = 2,038.37

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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.