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Finding the Fourth Proportional to 2,444.70, 3,669.02 and 1,275.06

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Solution

The fourth proportional to 2,444.70, 3,669.02 and 1,275.06 is: 1,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.70 : 3,669.02 = 1,275.06 : x
  2. Step 2: Convert to fraction form
    2,444.70/3,669.02 = 1,275.06/x
  3. Step 3: Cross multiply
    2,444.70x = 3,669.02 × 1,275.06
  4. Step 4: Simplify right side
    2,444.70x = 4,678,214.27
  5. Step 5: Solve for x
    x = 4,678,214.27/2,444.70
  6. Step 6: Final answer
    x = 1,913.61

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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.