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Finding the Fourth Proportional to 2,057.16, 3,085.29 and 595.92

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Solution

The fourth proportional to 2,057.16, 3,085.29 and 595.92 is: 893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.16 : 3,085.29 = 595.92 : x
  2. Step 2: Convert to fraction form
    2,057.16/3,085.29 = 595.92/x
  3. Step 3: Cross multiply
    2,057.16x = 3,085.29 × 595.92
  4. Step 4: Simplify right side
    2,057.16x = 1,838,586.02
  5. Step 5: Solve for x
    x = 1,838,586.02/2,057.16
  6. Step 6: Final answer
    x = 893.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.