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Finding the Fourth Proportional to 1,725.84, 2,576.88 and 1,561.68

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Solution

The fourth proportional to 1,725.84, 2,576.88 and 1,561.68 is: 2,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.84 : 2,576.88 = 1,561.68 : x
  2. Step 2: Convert to fraction form
    1,725.84/2,576.88 = 1,561.68/x
  3. Step 3: Cross multiply
    1,725.84x = 2,576.88 × 1,561.68
  4. Step 4: Simplify right side
    1,725.84x = 4,024,261.96
  5. Step 5: Solve for x
    x = 4,024,261.96/1,725.84
  6. Step 6: Final answer
    x = 2,331.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.