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Finding the Fourth Proportional to 1,412.46, 1,946.80 and 1,080.16

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Solution

The fourth proportional to 1,412.46, 1,946.80 and 1,080.16 is: 1,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.46 : 1,946.80 = 1,080.16 : x
  2. Step 2: Convert to fraction form
    1,412.46/1,946.80 = 1,080.16/x
  3. Step 3: Cross multiply
    1,412.46x = 1,946.80 × 1,080.16
  4. Step 4: Simplify right side
    1,412.46x = 2,102,851.97
  5. Step 5: Solve for x
    x = 2,102,851.97/1,412.46
  6. Step 6: Final answer
    x = 1,488.79

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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.