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Finding the Fourth Proportional to 1,384.45, 1,909.00 and 1,131.60

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Solution

The fourth proportional to 1,384.45, 1,909.00 and 1,131.60 is: 1,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.45 : 1,909.00 = 1,131.60 : x
  2. Step 2: Convert to fraction form
    1,384.45/1,909.00 = 1,131.60/x
  3. Step 3: Cross multiply
    1,384.45x = 1,909.00 × 1,131.60
  4. Step 4: Simplify right side
    1,384.45x = 2,160,210.90
  5. Step 5: Solve for x
    x = 2,160,210.90/1,384.45
  6. Step 6: Final answer
    x = 1,560.33

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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.