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Finding the Fourth Proportional to 1,871.61, 2,807.42 and 573.07

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Solution

The fourth proportional to 1,871.61, 2,807.42 and 573.07 is: 859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.61 : 2,807.42 = 573.07 : x
  2. Step 2: Convert to fraction form
    1,871.61/2,807.42 = 573.07/x
  3. Step 3: Cross multiply
    1,871.61x = 2,807.42 × 573.07
  4. Step 4: Simplify right side
    1,871.61x = 1,608,848.18
  5. Step 5: Solve for x
    x = 1,608,848.18/1,871.61
  6. Step 6: Final answer
    x = 859.61

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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.