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Finding the Fourth Proportional to 2,567.54, 3,544.08 and 1,977.32

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Solution

The fourth proportional to 2,567.54, 3,544.08 and 1,977.32 is: 2,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.54 : 3,544.08 = 1,977.32 : x
  2. Step 2: Convert to fraction form
    2,567.54/3,544.08 = 1,977.32/x
  3. Step 3: Cross multiply
    2,567.54x = 3,544.08 × 1,977.32
  4. Step 4: Simplify right side
    2,567.54x = 7,007,780.27
  5. Step 5: Solve for x
    x = 7,007,780.27/2,567.54
  6. Step 6: Final answer
    x = 2,729.38

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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.