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Finding the Fourth Proportional to 1,871.91, 2,805.03 and 1,437.75

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Solution

The fourth proportional to 1,871.91, 2,805.03 and 1,437.75 is: 2,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.91 : 2,805.03 = 1,437.75 : x
  2. Step 2: Convert to fraction form
    1,871.91/2,805.03 = 1,437.75/x
  3. Step 3: Cross multiply
    1,871.91x = 2,805.03 × 1,437.75
  4. Step 4: Simplify right side
    1,871.91x = 4,032,931.88
  5. Step 5: Solve for x
    x = 4,032,931.88/1,871.91
  6. Step 6: Final answer
    x = 2,154.45

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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.