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Finding the Fourth Proportional to 1,473.97, 2,031.98 and 1,054.17

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Solution

The fourth proportional to 1,473.97, 2,031.98 and 1,054.17 is: 1,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.97 : 2,031.98 = 1,054.17 : x
  2. Step 2: Convert to fraction form
    1,473.97/2,031.98 = 1,054.17/x
  3. Step 3: Cross multiply
    1,473.97x = 2,031.98 × 1,054.17
  4. Step 4: Simplify right side
    1,473.97x = 2,142,047.09
  5. Step 5: Solve for x
    x = 2,142,047.09/1,473.97
  6. Step 6: Final answer
    x = 1,453.25

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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.