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Finding the Fourth Proportional to 1,509.59, 2,082.93 and 1,090.58

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Solution

The fourth proportional to 1,509.59, 2,082.93 and 1,090.58 is: 1,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.59 : 2,082.93 = 1,090.58 : x
  2. Step 2: Convert to fraction form
    1,509.59/2,082.93 = 1,090.58/x
  3. Step 3: Cross multiply
    1,509.59x = 2,082.93 × 1,090.58
  4. Step 4: Simplify right side
    1,509.59x = 2,271,591.38
  5. Step 5: Solve for x
    x = 2,271,591.38/1,509.59
  6. Step 6: Final answer
    x = 1,504.78

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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.