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Finding the Fourth Proportional to 1,871.75, 2,807.61 and 1,461.23

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Solution

The fourth proportional to 1,871.75, 2,807.61 and 1,461.23 is: 2,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.75 : 2,807.61 = 1,461.23 : x
  2. Step 2: Convert to fraction form
    1,871.75/2,807.61 = 1,461.23/x
  3. Step 3: Cross multiply
    1,871.75x = 2,807.61 × 1,461.23
  4. Step 4: Simplify right side
    1,871.75x = 4,102,549.92
  5. Step 5: Solve for x
    x = 4,102,549.92/1,871.75
  6. Step 6: Final answer
    x = 2,191.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.