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Finding the Fourth Proportional to 1,384.09, 1,911.60 and 1,073.12

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Solution

The fourth proportional to 1,384.09, 1,911.60 and 1,073.12 is: 1,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.09 : 1,911.60 = 1,073.12 : x
  2. Step 2: Convert to fraction form
    1,384.09/1,911.60 = 1,073.12/x
  3. Step 3: Cross multiply
    1,384.09x = 1,911.60 × 1,073.12
  4. Step 4: Simplify right side
    1,384.09x = 2,051,366.63
  5. Step 5: Solve for x
    x = 2,051,366.63/1,384.09
  6. Step 6: Final answer
    x = 1,482.11

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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.