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Finding the Fourth Proportional to 2,366.45, 3,554.74 and 1,442.51

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Solution

The fourth proportional to 2,366.45, 3,554.74 and 1,442.51 is: 2,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.45 : 3,554.74 = 1,442.51 : x
  2. Step 2: Convert to fraction form
    2,366.45/3,554.74 = 1,442.51/x
  3. Step 3: Cross multiply
    2,366.45x = 3,554.74 × 1,442.51
  4. Step 4: Simplify right side
    2,366.45x = 5,127,748.00
  5. Step 5: Solve for x
    x = 5,127,748.00/2,366.45
  6. Step 6: Final answer
    x = 2,166.85

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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.