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Finding the Fourth Proportional to 2,507.84, 3,462.16 and 1,947.08

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Solution

The fourth proportional to 2,507.84, 3,462.16 and 1,947.08 is: 2,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.84 : 3,462.16 = 1,947.08 : x
  2. Step 2: Convert to fraction form
    2,507.84/3,462.16 = 1,947.08/x
  3. Step 3: Cross multiply
    2,507.84x = 3,462.16 × 1,947.08
  4. Step 4: Simplify right side
    2,507.84x = 6,741,102.49
  5. Step 5: Solve for x
    x = 6,741,102.49/2,507.84
  6. Step 6: Final answer
    x = 2,688.01

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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.