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Finding the Fourth Proportional to 1,627.84, 2,246.36 and 929.12

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Solution

The fourth proportional to 1,627.84, 2,246.36 and 929.12 is: 1,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.84 : 2,246.36 = 929.12 : x
  2. Step 2: Convert to fraction form
    1,627.84/2,246.36 = 929.12/x
  3. Step 3: Cross multiply
    1,627.84x = 2,246.36 × 929.12
  4. Step 4: Simplify right side
    1,627.84x = 2,087,138.00
  5. Step 5: Solve for x
    x = 2,087,138.00/1,627.84
  6. Step 6: Final answer
    x = 1,282.15

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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.