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Finding the Fourth Proportional to 2,567.76, 3,543.48 and 1,448.70

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Solution

The fourth proportional to 2,567.76, 3,543.48 and 1,448.70 is: 1,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.76 : 3,543.48 = 1,448.70 : x
  2. Step 2: Convert to fraction form
    2,567.76/3,543.48 = 1,448.70/x
  3. Step 3: Cross multiply
    2,567.76x = 3,543.48 × 1,448.70
  4. Step 4: Simplify right side
    2,567.76x = 5,133,439.48
  5. Step 5: Solve for x
    x = 5,133,439.48/2,567.76
  6. Step 6: Final answer
    x = 1,999.19

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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.