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Finding the Fourth Proportional to 1,901.58, 2,624.88 and 1,408.20

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Solution

The fourth proportional to 1,901.58, 2,624.88 and 1,408.20 is: 1,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.58 : 2,624.88 = 1,408.20 : x
  2. Step 2: Convert to fraction form
    1,901.58/2,624.88 = 1,408.20/x
  3. Step 3: Cross multiply
    1,901.58x = 2,624.88 × 1,408.20
  4. Step 4: Simplify right side
    1,901.58x = 3,696,356.02
  5. Step 5: Solve for x
    x = 3,696,356.02/1,901.58
  6. Step 6: Final answer
    x = 1,943.83

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