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Finding the Fourth Proportional to 2,056.25, 3,084.17 and 575.51

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Solution

The fourth proportional to 2,056.25, 3,084.17 and 575.51 is: 863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.25 : 3,084.17 = 575.51 : x
  2. Step 2: Convert to fraction form
    2,056.25/3,084.17 = 575.51/x
  3. Step 3: Cross multiply
    2,056.25x = 3,084.17 × 575.51
  4. Step 4: Simplify right side
    2,056.25x = 1,774,952.38
  5. Step 5: Solve for x
    x = 1,774,952.38/2,056.25
  6. Step 6: Final answer
    x = 863.20

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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.