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Finding the Fourth Proportional to 2,056.64, 3,084.62 and 595.47

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Solution

The fourth proportional to 2,056.64, 3,084.62 and 595.47 is: 893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.64 : 3,084.62 = 595.47 : x
  2. Step 2: Convert to fraction form
    2,056.64/3,084.62 = 595.47/x
  3. Step 3: Cross multiply
    2,056.64x = 3,084.62 × 595.47
  4. Step 4: Simplify right side
    2,056.64x = 1,836,795.69
  5. Step 5: Solve for x
    x = 1,836,795.69/2,056.64
  6. Step 6: Final answer
    x = 893.11

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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.