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Finding the Fourth Proportional to 1,871.32, 2,807.52 and 572.98

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Solution

The fourth proportional to 1,871.32, 2,807.52 and 572.98 is: 859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.32 : 2,807.52 = 572.98 : x
  2. Step 2: Convert to fraction form
    1,871.32/2,807.52 = 572.98/x
  3. Step 3: Cross multiply
    1,871.32x = 2,807.52 × 572.98
  4. Step 4: Simplify right side
    1,871.32x = 1,608,652.81
  5. Step 5: Solve for x
    x = 1,608,652.81/1,871.32
  6. Step 6: Final answer
    x = 859.64

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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.