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Finding the Fourth Proportional to 2,056.69, 3,085.05 and 595.87

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Solution

The fourth proportional to 2,056.69, 3,085.05 and 595.87 is: 893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.69 : 3,085.05 = 595.87 : x
  2. Step 2: Convert to fraction form
    2,056.69/3,085.05 = 595.87/x
  3. Step 3: Cross multiply
    2,056.69x = 3,085.05 × 595.87
  4. Step 4: Simplify right side
    2,056.69x = 1,838,288.74
  5. Step 5: Solve for x
    x = 1,838,288.74/2,056.69
  6. Step 6: Final answer
    x = 893.81

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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.