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Finding the Fourth Proportional to 2,138.02, 2,950.55 and 1,206.50

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Solution

The fourth proportional to 2,138.02, 2,950.55 and 1,206.50 is: 1,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.02 : 2,950.55 = 1,206.50 : x
  2. Step 2: Convert to fraction form
    2,138.02/2,950.55 = 1,206.50/x
  3. Step 3: Cross multiply
    2,138.02x = 2,950.55 × 1,206.50
  4. Step 4: Simplify right side
    2,138.02x = 3,559,838.58
  5. Step 5: Solve for x
    x = 3,559,838.58/2,138.02
  6. Step 6: Final answer
    x = 1,665.02

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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.