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Finding the Fourth Proportional to 2,065.89, 3,098.84 and 526.89

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Solution

The fourth proportional to 2,065.89, 3,098.84 and 526.89 is: 790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.89 : 3,098.84 = 526.89 : x
  2. Step 2: Convert to fraction form
    2,065.89/3,098.84 = 526.89/x
  3. Step 3: Cross multiply
    2,065.89x = 3,098.84 × 526.89
  4. Step 4: Simplify right side
    2,065.89x = 1,632,745.17
  5. Step 5: Solve for x
    x = 1,632,745.17/2,065.89
  6. Step 6: Final answer
    x = 790.34

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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.