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Finding the Fourth Proportional to 2,106.70, 3,160.02 and 951.10

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Solution

The fourth proportional to 2,106.70, 3,160.02 and 951.10 is: 1,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.70 : 3,160.02 = 951.10 : x
  2. Step 2: Convert to fraction form
    2,106.70/3,160.02 = 951.10/x
  3. Step 3: Cross multiply
    2,106.70x = 3,160.02 × 951.10
  4. Step 4: Simplify right side
    2,106.70x = 3,005,495.02
  5. Step 5: Solve for x
    x = 3,005,495.02/2,106.70
  6. Step 6: Final answer
    x = 1,426.64

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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.