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Finding the Fourth Proportional to 2,378.55, 3,567.83 and 1,283.43

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Solution

The fourth proportional to 2,378.55, 3,567.83 and 1,283.43 is: 1,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.55 : 3,567.83 = 1,283.43 : x
  2. Step 2: Convert to fraction form
    2,378.55/3,567.83 = 1,283.43/x
  3. Step 3: Cross multiply
    2,378.55x = 3,567.83 × 1,283.43
  4. Step 4: Simplify right side
    2,378.55x = 4,579,060.06
  5. Step 5: Solve for x
    x = 4,579,060.06/2,378.55
  6. Step 6: Final answer
    x = 1,925.15

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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.