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Finding the Fourth Proportional to 1,771.07, 2,444.06 and 974.44

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Solution

The fourth proportional to 1,771.07, 2,444.06 and 974.44 is: 1,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.07 : 2,444.06 = 974.44 : x
  2. Step 2: Convert to fraction form
    1,771.07/2,444.06 = 974.44/x
  3. Step 3: Cross multiply
    1,771.07x = 2,444.06 × 974.44
  4. Step 4: Simplify right side
    1,771.07x = 2,381,582.50
  5. Step 5: Solve for x
    x = 2,381,582.50/1,771.07
  6. Step 6: Final answer
    x = 1,344.72

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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.