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Finding the Fourth Proportional to 2,569.84, 3,852.32 and 837.26

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Solution

The fourth proportional to 2,569.84, 3,852.32 and 837.26 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.84 : 3,852.32 = 837.26 : x
  2. Step 2: Convert to fraction form
    2,569.84/3,852.32 = 837.26/x
  3. Step 3: Cross multiply
    2,569.84x = 3,852.32 × 837.26
  4. Step 4: Simplify right side
    2,569.84x = 3,225,393.44
  5. Step 5: Solve for x
    x = 3,225,393.44/2,569.84
  6. Step 6: Final answer
    x = 1,255.10

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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.