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Finding the Fourth Proportional to 1,598.68, 2,206.23 and 969.10

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Solution

The fourth proportional to 1,598.68, 2,206.23 and 969.10 is: 1,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.68 : 2,206.23 = 969.10 : x
  2. Step 2: Convert to fraction form
    1,598.68/2,206.23 = 969.10/x
  3. Step 3: Cross multiply
    1,598.68x = 2,206.23 × 969.10
  4. Step 4: Simplify right side
    1,598.68x = 2,138,057.49
  5. Step 5: Solve for x
    x = 2,138,057.49/1,598.68
  6. Step 6: Final answer
    x = 1,337.39

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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.