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Finding the Fourth Proportional to 2,561.64, 3,533.74 and 1,513

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Solution

The fourth proportional to 2,561.64, 3,533.74 and 1,513 is: 2,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.64 : 3,533.74 = 1,513 : x
  2. Step 2: Convert to fraction form
    2,561.64/3,533.74 = 1,513/x
  3. Step 3: Cross multiply
    2,561.64x = 3,533.74 × 1,513
  4. Step 4: Simplify right side
    2,561.64x = 5,346,548.62
  5. Step 5: Solve for x
    x = 5,346,548.62/2,561.64
  6. Step 6: Final answer
    x = 2,087.16

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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.