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Finding the Fourth Proportional to 2,056.74, 3,085.02 and 595.86

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Solution

The fourth proportional to 2,056.74, 3,085.02 and 595.86 is: 893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.74 : 3,085.02 = 595.86 : x
  2. Step 2: Convert to fraction form
    2,056.74/3,085.02 = 595.86/x
  3. Step 3: Cross multiply
    2,056.74x = 3,085.02 × 595.86
  4. Step 4: Simplify right side
    2,056.74x = 1,838,240.02
  5. Step 5: Solve for x
    x = 1,838,240.02/2,056.74
  6. Step 6: Final answer
    x = 893.76

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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.