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Finding the Fourth Proportional to 2,076.57, 3,114.99 and 595.82

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Solution

The fourth proportional to 2,076.57, 3,114.99 and 595.82 is: 893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.57 : 3,114.99 = 595.82 : x
  2. Step 2: Convert to fraction form
    2,076.57/3,114.99 = 595.82/x
  3. Step 3: Cross multiply
    2,076.57x = 3,114.99 × 595.82
  4. Step 4: Simplify right side
    2,076.57x = 1,855,981.13
  5. Step 5: Solve for x
    x = 1,855,981.13/2,076.57
  6. Step 6: Final answer
    x = 893.77

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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.