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Finding the Fourth Proportional to 1,637.79, 2,260.16 and 974.67

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Solution

The fourth proportional to 1,637.79, 2,260.16 and 974.67 is: 1,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.79 : 2,260.16 = 974.67 : x
  2. Step 2: Convert to fraction form
    1,637.79/2,260.16 = 974.67/x
  3. Step 3: Cross multiply
    1,637.79x = 2,260.16 × 974.67
  4. Step 4: Simplify right side
    1,637.79x = 2,202,905.27
  5. Step 5: Solve for x
    x = 2,202,905.27/1,637.79
  6. Step 6: Final answer
    x = 1,345.05

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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.