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Finding the Fourth Proportional to 1,901.95, 2,625.01 and 1,586.71

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Solution

The fourth proportional to 1,901.95, 2,625.01 and 1,586.71 is: 2,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.95 : 2,625.01 = 1,586.71 : x
  2. Step 2: Convert to fraction form
    1,901.95/2,625.01 = 1,586.71/x
  3. Step 3: Cross multiply
    1,901.95x = 2,625.01 × 1,586.71
  4. Step 4: Simplify right side
    1,901.95x = 4,165,114.17
  5. Step 5: Solve for x
    x = 4,165,114.17/1,901.95
  6. Step 6: Final answer
    x = 2,189.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.