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Finding the Fourth Proportional to 2,415.50, 3,334.01 and 1,471.93

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Solution

The fourth proportional to 2,415.50, 3,334.01 and 1,471.93 is: 2,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.50 : 3,334.01 = 1,471.93 : x
  2. Step 2: Convert to fraction form
    2,415.50/3,334.01 = 1,471.93/x
  3. Step 3: Cross multiply
    2,415.50x = 3,334.01 × 1,471.93
  4. Step 4: Simplify right side
    2,415.50x = 4,907,429.34
  5. Step 5: Solve for x
    x = 4,907,429.34/2,415.50
  6. Step 6: Final answer
    x = 2,031.64

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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.