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Finding the Fourth Proportional to 2,123.07, 3,184.02 and 1,504.95

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Solution

The fourth proportional to 2,123.07, 3,184.02 and 1,504.95 is: 2,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.07 : 3,184.02 = 1,504.95 : x
  2. Step 2: Convert to fraction form
    2,123.07/3,184.02 = 1,504.95/x
  3. Step 3: Cross multiply
    2,123.07x = 3,184.02 × 1,504.95
  4. Step 4: Simplify right side
    2,123.07x = 4,791,790.90
  5. Step 5: Solve for x
    x = 4,791,790.90/2,123.07
  6. Step 6: Final answer
    x = 2,257.01

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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.