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Finding the Fourth Proportional to 3,302.40, 4,953.75 and 1,840.46

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Solution

The fourth proportional to 3,302.40, 4,953.75 and 1,840.46 is: 2,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.40 : 4,953.75 = 1,840.46 : x
  2. Step 2: Convert to fraction form
    3,302.40/4,953.75 = 1,840.46/x
  3. Step 3: Cross multiply
    3,302.40x = 4,953.75 × 1,840.46
  4. Step 4: Simplify right side
    3,302.40x = 9,117,153.96
  5. Step 5: Solve for x
    x = 9,117,153.96/3,302.40
  6. Step 6: Final answer
    x = 2,760.77

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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.