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Finding the Fourth Proportional to 3,100.29, 4,648.87 and 1,020.05

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Solution

The fourth proportional to 3,100.29, 4,648.87 and 1,020.05 is: 1,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.29 : 4,648.87 = 1,020.05 : x
  2. Step 2: Convert to fraction form
    3,100.29/4,648.87 = 1,020.05/x
  3. Step 3: Cross multiply
    3,100.29x = 4,648.87 × 1,020.05
  4. Step 4: Simplify right side
    3,100.29x = 4,742,075.31
  5. Step 5: Solve for x
    x = 4,742,075.31/3,100.29
  6. Step 6: Final answer
    x = 1,529.56

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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.