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Finding the Fourth Proportional to 1,260.09, 1,885.65 and 930.24

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Solution

The fourth proportional to 1,260.09, 1,885.65 and 930.24 is: 1,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.09 : 1,885.65 = 930.24 : x
  2. Step 2: Convert to fraction form
    1,260.09/1,885.65 = 930.24/x
  3. Step 3: Cross multiply
    1,260.09x = 1,885.65 × 930.24
  4. Step 4: Simplify right side
    1,260.09x = 1,754,107.06
  5. Step 5: Solve for x
    x = 1,754,107.06/1,260.09
  6. Step 6: Final answer
    x = 1,392.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.