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Finding the Fourth Proportional to 1,551.83, 2,141.40 and 913.67

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Solution

The fourth proportional to 1,551.83, 2,141.40 and 913.67 is: 1,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.83 : 2,141.40 = 913.67 : x
  2. Step 2: Convert to fraction form
    1,551.83/2,141.40 = 913.67/x
  3. Step 3: Cross multiply
    1,551.83x = 2,141.40 × 913.67
  4. Step 4: Simplify right side
    1,551.83x = 1,956,529.12
  5. Step 5: Solve for x
    x = 1,956,529.12/1,551.83
  6. Step 6: Final answer
    x = 1,260.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.