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Finding the Fourth Proportional to 1,540.06, 2,310.02 and 444.40

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Solution

The fourth proportional to 1,540.06, 2,310.02 and 444.40 is: 666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.06 : 2,310.02 = 444.40 : x
  2. Step 2: Convert to fraction form
    1,540.06/2,310.02 = 444.40/x
  3. Step 3: Cross multiply
    1,540.06x = 2,310.02 × 444.40
  4. Step 4: Simplify right side
    1,540.06x = 1,026,572.89
  5. Step 5: Solve for x
    x = 1,026,572.89/1,540.06
  6. Step 6: Final answer
    x = 666.58

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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.