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Finding the Fourth Proportional to 2,076.47, 3,114.72 and 595.87

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Solution

The fourth proportional to 2,076.47, 3,114.72 and 595.87 is: 893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.47 : 3,114.72 = 595.87 : x
  2. Step 2: Convert to fraction form
    2,076.47/3,114.72 = 595.87/x
  3. Step 3: Cross multiply
    2,076.47x = 3,114.72 × 595.87
  4. Step 4: Simplify right side
    2,076.47x = 1,855,968.21
  5. Step 5: Solve for x
    x = 1,855,968.21/2,076.47
  6. Step 6: Final answer
    x = 893.81

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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.