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Finding the Fourth Proportional to 2,106.13, 3,159.06 and 567.13

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Solution

The fourth proportional to 2,106.13, 3,159.06 and 567.13 is: 850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.13 : 3,159.06 = 567.13 : x
  2. Step 2: Convert to fraction form
    2,106.13/3,159.06 = 567.13/x
  3. Step 3: Cross multiply
    2,106.13x = 3,159.06 × 567.13
  4. Step 4: Simplify right side
    2,106.13x = 1,791,597.70
  5. Step 5: Solve for x
    x = 1,791,597.70/2,106.13
  6. Step 6: Final answer
    x = 850.66

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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.