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Finding the Fourth Proportional to 1,755.61, 2,617.13 and 1,624.39

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Solution

The fourth proportional to 1,755.61, 2,617.13 and 1,624.39 is: 2,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.61 : 2,617.13 = 1,624.39 : x
  2. Step 2: Convert to fraction form
    1,755.61/2,617.13 = 1,624.39/x
  3. Step 3: Cross multiply
    1,755.61x = 2,617.13 × 1,624.39
  4. Step 4: Simplify right side
    1,755.61x = 4,251,237.32
  5. Step 5: Solve for x
    x = 4,251,237.32/1,755.61
  6. Step 6: Final answer
    x = 2,421.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.