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Finding the Fourth Proportional to 2,569.42, 3,852.74 and 903.12

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Solution

The fourth proportional to 2,569.42, 3,852.74 and 903.12 is: 1,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.42 : 3,852.74 = 903.12 : x
  2. Step 2: Convert to fraction form
    2,569.42/3,852.74 = 903.12/x
  3. Step 3: Cross multiply
    2,569.42x = 3,852.74 × 903.12
  4. Step 4: Simplify right side
    2,569.42x = 3,479,470.97
  5. Step 5: Solve for x
    x = 3,479,470.97/2,569.42
  6. Step 6: Final answer
    x = 1,354.18

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1.5x scale

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.