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Finding the Fourth Proportional to 2,567.06, 3,542.86 and 1,448.06

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Solution

The fourth proportional to 2,567.06, 3,542.86 and 1,448.06 is: 1,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.06 : 3,542.86 = 1,448.06 : x
  2. Step 2: Convert to fraction form
    2,567.06/3,542.86 = 1,448.06/x
  3. Step 3: Cross multiply
    2,567.06x = 3,542.86 × 1,448.06
  4. Step 4: Simplify right side
    2,567.06x = 5,130,273.85
  5. Step 5: Solve for x
    x = 5,130,273.85/2,567.06
  6. Step 6: Final answer
    x = 1,998.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.