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Finding the Fourth Proportional to 2,567.45, 3,852.88 and 924

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Solution

The fourth proportional to 2,567.45, 3,852.88 and 924 is: 1,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.45 : 3,852.88 = 924 : x
  2. Step 2: Convert to fraction form
    2,567.45/3,852.88 = 924/x
  3. Step 3: Cross multiply
    2,567.45x = 3,852.88 × 924
  4. Step 4: Simplify right side
    2,567.45x = 3,560,061.12
  5. Step 5: Solve for x
    x = 3,560,061.12/2,567.45
  6. Step 6: Final answer
    x = 1,386.61

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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.