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Finding the Fourth Proportional to 2,507.00, 3,460.08 and 1,512.42

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Solution

The fourth proportional to 2,507.00, 3,460.08 and 1,512.42 is: 2,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.00 : 3,460.08 = 1,512.42 : x
  2. Step 2: Convert to fraction form
    2,507.00/3,460.08 = 1,512.42/x
  3. Step 3: Cross multiply
    2,507.00x = 3,460.08 × 1,512.42
  4. Step 4: Simplify right side
    2,507.00x = 5,233,094.19
  5. Step 5: Solve for x
    x = 5,233,094.19/2,507.00
  6. Step 6: Final answer
    x = 2,087.40

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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.