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Finding the Fourth Proportional to 1,871.80, 2,807.70 and 832.30

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Solution

The fourth proportional to 1,871.80, 2,807.70 and 832.30 is: 1,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.80 : 2,807.70 = 832.30 : x
  2. Step 2: Convert to fraction form
    1,871.80/2,807.70 = 832.30/x
  3. Step 3: Cross multiply
    1,871.80x = 2,807.70 × 832.30
  4. Step 4: Simplify right side
    1,871.80x = 2,336,848.71
  5. Step 5: Solve for x
    x = 2,336,848.71/1,871.80
  6. Step 6: Final answer
    x = 1,248.45

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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.