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Finding the Fourth Proportional to 2,051.01, 2,830.64 and 1,265.07

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Solution

The fourth proportional to 2,051.01, 2,830.64 and 1,265.07 is: 1,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.01 : 2,830.64 = 1,265.07 : x
  2. Step 2: Convert to fraction form
    2,051.01/2,830.64 = 1,265.07/x
  3. Step 3: Cross multiply
    2,051.01x = 2,830.64 × 1,265.07
  4. Step 4: Simplify right side
    2,051.01x = 3,580,951.42
  5. Step 5: Solve for x
    x = 3,580,951.42/2,051.01
  6. Step 6: Final answer
    x = 1,745.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.