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Finding the Fourth Proportional to 1,637.87, 2,259.40 and 974.25

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Solution

The fourth proportional to 1,637.87, 2,259.40 and 974.25 is: 1,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.87 : 2,259.40 = 974.25 : x
  2. Step 2: Convert to fraction form
    1,637.87/2,259.40 = 974.25/x
  3. Step 3: Cross multiply
    1,637.87x = 2,259.40 × 974.25
  4. Step 4: Simplify right side
    1,637.87x = 2,201,220.45
  5. Step 5: Solve for x
    x = 2,201,220.45/1,637.87
  6. Step 6: Final answer
    x = 1,343.95

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1.5x scale

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.