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Finding the Fourth Proportional to 2,277.84, 3,412.62 and 1,583.04

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Solution

The fourth proportional to 2,277.84, 3,412.62 and 1,583.04 is: 2,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.84 : 3,412.62 = 1,583.04 : x
  2. Step 2: Convert to fraction form
    2,277.84/3,412.62 = 1,583.04/x
  3. Step 3: Cross multiply
    2,277.84x = 3,412.62 × 1,583.04
  4. Step 4: Simplify right side
    2,277.84x = 5,402,313.96
  5. Step 5: Solve for x
    x = 5,402,313.96/2,277.84
  6. Step 6: Final answer
    x = 2,371.68

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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.