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Finding the Fourth Proportional to 2,900.72, 4,346.76 and 1,602.56

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Solution

The fourth proportional to 2,900.72, 4,346.76 and 1,602.56 is: 2,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.72 : 4,346.76 = 1,602.56 : x
  2. Step 2: Convert to fraction form
    2,900.72/4,346.76 = 1,602.56/x
  3. Step 3: Cross multiply
    2,900.72x = 4,346.76 × 1,602.56
  4. Step 4: Simplify right side
    2,900.72x = 6,965,943.71
  5. Step 5: Solve for x
    x = 6,965,943.71/2,900.72
  6. Step 6: Final answer
    x = 2,401.45

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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.