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Finding the Fourth Proportional to 2,473.79, 3,706.63 and 1,496.93

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Solution

The fourth proportional to 2,473.79, 3,706.63 and 1,496.93 is: 2,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.79 : 3,706.63 = 1,496.93 : x
  2. Step 2: Convert to fraction form
    2,473.79/3,706.63 = 1,496.93/x
  3. Step 3: Cross multiply
    2,473.79x = 3,706.63 × 1,496.93
  4. Step 4: Simplify right side
    2,473.79x = 5,548,543.37
  5. Step 5: Solve for x
    x = 5,548,543.37/2,473.79
  6. Step 6: Final answer
    x = 2,242.94

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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.