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Finding the Fourth Proportional to 1,415.88, 2,123.28 and 538.02

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Solution

The fourth proportional to 1,415.88, 2,123.28 and 538.02 is: 806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.88 : 2,123.28 = 538.02 : x
  2. Step 2: Convert to fraction form
    1,415.88/2,123.28 = 538.02/x
  3. Step 3: Cross multiply
    1,415.88x = 2,123.28 × 538.02
  4. Step 4: Simplify right side
    1,415.88x = 1,142,367.11
  5. Step 5: Solve for x
    x = 1,142,367.11/1,415.88
  6. Step 6: Final answer
    x = 806.82

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