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Finding the Fourth Proportional to 2,419.70, 3,624.80 and 1,376.58

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Solution

The fourth proportional to 2,419.70, 3,624.80 and 1,376.58 is: 2,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.70 : 3,624.80 = 1,376.58 : x
  2. Step 2: Convert to fraction form
    2,419.70/3,624.80 = 1,376.58/x
  3. Step 3: Cross multiply
    2,419.70x = 3,624.80 × 1,376.58
  4. Step 4: Simplify right side
    2,419.70x = 4,989,827.18
  5. Step 5: Solve for x
    x = 4,989,827.18/2,419.70
  6. Step 6: Final answer
    x = 2,062.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.