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Finding the Fourth Proportional to 2,106.50, 3,159.75 and 567.50

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Solution

The fourth proportional to 2,106.50, 3,159.75 and 567.50 is: 851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.50 : 3,159.75 = 567.50 : x
  2. Step 2: Convert to fraction form
    2,106.50/3,159.75 = 567.50/x
  3. Step 3: Cross multiply
    2,106.50x = 3,159.75 × 567.50
  4. Step 4: Simplify right side
    2,106.50x = 1,793,158.13
  5. Step 5: Solve for x
    x = 1,793,158.13/2,106.50
  6. Step 6: Final answer
    x = 851.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.