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Finding the Fourth Proportional to 1,415.61, 2,123.70 and 635.21

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Solution

The fourth proportional to 1,415.61, 2,123.70 and 635.21 is: 952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.61 : 2,123.70 = 635.21 : x
  2. Step 2: Convert to fraction form
    1,415.61/2,123.70 = 635.21/x
  3. Step 3: Cross multiply
    1,415.61x = 2,123.70 × 635.21
  4. Step 4: Simplify right side
    1,415.61x = 1,348,994.01
  5. Step 5: Solve for x
    x = 1,348,994.01/1,415.61
  6. Step 6: Final answer
    x = 952.94

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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.