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Finding the Fourth Proportional to 2,364.06, 3,541.99 and 1,437.67

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Solution

The fourth proportional to 2,364.06, 3,541.99 and 1,437.67 is: 2,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.06 : 3,541.99 = 1,437.67 : x
  2. Step 2: Convert to fraction form
    2,364.06/3,541.99 = 1,437.67/x
  3. Step 3: Cross multiply
    2,364.06x = 3,541.99 × 1,437.67
  4. Step 4: Simplify right side
    2,364.06x = 5,092,212.76
  5. Step 5: Solve for x
    x = 5,092,212.76/2,364.06
  6. Step 6: Final answer
    x = 2,154.01

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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.