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Finding the Fourth Proportional to 4,302.72, 6,455.07 and 1,341.01

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Solution

The fourth proportional to 4,302.72, 6,455.07 and 1,341.01 is: 2,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.72 : 6,455.07 = 1,341.01 : x
  2. Step 2: Convert to fraction form
    4,302.72/6,455.07 = 1,341.01/x
  3. Step 3: Cross multiply
    4,302.72x = 6,455.07 × 1,341.01
  4. Step 4: Simplify right side
    4,302.72x = 8,656,313.42
  5. Step 5: Solve for x
    x = 8,656,313.42/4,302.72
  6. Step 6: Final answer
    x = 2,011.82

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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.