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Finding the Fourth Proportional to 1,637.96, 2,260.06 and 974.96

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Solution

The fourth proportional to 1,637.96, 2,260.06 and 974.96 is: 1,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.96 : 2,260.06 = 974.96 : x
  2. Step 2: Convert to fraction form
    1,637.96/2,260.06 = 974.96/x
  3. Step 3: Cross multiply
    1,637.96x = 2,260.06 × 974.96
  4. Step 4: Simplify right side
    1,637.96x = 2,203,468.10
  5. Step 5: Solve for x
    x = 2,203,468.10/1,637.96
  6. Step 6: Final answer
    x = 1,345.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.