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Finding the Fourth Proportional to 2,154.06, 2,972.52 and 1,316.17

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Solution

The fourth proportional to 2,154.06, 2,972.52 and 1,316.17 is: 1,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.06 : 2,972.52 = 1,316.17 : x
  2. Step 2: Convert to fraction form
    2,154.06/2,972.52 = 1,316.17/x
  3. Step 3: Cross multiply
    2,154.06x = 2,972.52 × 1,316.17
  4. Step 4: Simplify right side
    2,154.06x = 3,912,334.22
  5. Step 5: Solve for x
    x = 3,912,334.22/2,154.06
  6. Step 6: Final answer
    x = 1,816.26

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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.