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Finding the Fourth Proportional to 3,253.40, 4,881.66 and 1,405.16

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Solution

The fourth proportional to 3,253.40, 4,881.66 and 1,405.16 is: 2,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.40 : 4,881.66 = 1,405.16 : x
  2. Step 2: Convert to fraction form
    3,253.40/4,881.66 = 1,405.16/x
  3. Step 3: Cross multiply
    3,253.40x = 4,881.66 × 1,405.16
  4. Step 4: Simplify right side
    3,253.40x = 6,859,513.37
  5. Step 5: Solve for x
    x = 6,859,513.37/3,253.40
  6. Step 6: Final answer
    x = 2,108.41

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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.