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Finding the Fourth Proportional to 2,106.05, 3,159.15 and 645.20

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Solution

The fourth proportional to 2,106.05, 3,159.15 and 645.20 is: 967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.05 : 3,159.15 = 645.20 : x
  2. Step 2: Convert to fraction form
    2,106.05/3,159.15 = 645.20/x
  3. Step 3: Cross multiply
    2,106.05x = 3,159.15 × 645.20
  4. Step 4: Simplify right side
    2,106.05x = 2,038,283.58
  5. Step 5: Solve for x
    x = 2,038,283.58/2,106.05
  6. Step 6: Final answer
    x = 967.82

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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.