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Finding the Fourth Proportional to 2,565.54, 3,848.24 and 716.78

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Solution

The fourth proportional to 2,565.54, 3,848.24 and 716.78 is: 1,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.54 : 3,848.24 = 716.78 : x
  2. Step 2: Convert to fraction form
    2,565.54/3,848.24 = 716.78/x
  3. Step 3: Cross multiply
    2,565.54x = 3,848.24 × 716.78
  4. Step 4: Simplify right side
    2,565.54x = 2,758,352.88
  5. Step 5: Solve for x
    x = 2,758,352.88/2,565.54
  6. Step 6: Final answer
    x = 1,075.15

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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.