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Finding the Fourth Proportional to 1,384.02, 2,074.45 and 561.90

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Solution

The fourth proportional to 1,384.02, 2,074.45 and 561.90 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.02 : 2,074.45 = 561.90 : x
  2. Step 2: Convert to fraction form
    1,384.02/2,074.45 = 561.90/x
  3. Step 3: Cross multiply
    1,384.02x = 2,074.45 × 561.90
  4. Step 4: Simplify right side
    1,384.02x = 1,165,633.46
  5. Step 5: Solve for x
    x = 1,165,633.46/1,384.02
  6. Step 6: Final answer
    x = 842.21

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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.