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Finding the Fourth Proportional to 1,738.60, 2,607.90 and 1,598.20

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Solution

The fourth proportional to 1,738.60, 2,607.90 and 1,598.20 is: 2,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.60 : 2,607.90 = 1,598.20 : x
  2. Step 2: Convert to fraction form
    1,738.60/2,607.90 = 1,598.20/x
  3. Step 3: Cross multiply
    1,738.60x = 2,607.90 × 1,598.20
  4. Step 4: Simplify right side
    1,738.60x = 4,167,945.78
  5. Step 5: Solve for x
    x = 4,167,945.78/1,738.60
  6. Step 6: Final answer
    x = 2,397.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.