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Finding the Fourth Proportional to 1,428.45, 2,140.65 and 561.75

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Solution

The fourth proportional to 1,428.45, 2,140.65 and 561.75 is: 841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.45 : 2,140.65 = 561.75 : x
  2. Step 2: Convert to fraction form
    1,428.45/2,140.65 = 561.75/x
  3. Step 3: Cross multiply
    1,428.45x = 2,140.65 × 561.75
  4. Step 4: Simplify right side
    1,428.45x = 1,202,510.14
  5. Step 5: Solve for x
    x = 1,202,510.14/1,428.45
  6. Step 6: Final answer
    x = 841.83

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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.