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Finding the Fourth Proportional to 1,567.90, 2,352.26 and 836.88

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Solution

The fourth proportional to 1,567.90, 2,352.26 and 836.88 is: 1,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.90 : 2,352.26 = 836.88 : x
  2. Step 2: Convert to fraction form
    1,567.90/2,352.26 = 836.88/x
  3. Step 3: Cross multiply
    1,567.90x = 2,352.26 × 836.88
  4. Step 4: Simplify right side
    1,567.90x = 1,968,559.35
  5. Step 5: Solve for x
    x = 1,968,559.35/1,567.90
  6. Step 6: Final answer
    x = 1,255.54

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1.5x scale

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.