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Finding the Fourth Proportional to 4,703.64, 7,054.74 and 1,241.16

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Solution

The fourth proportional to 4,703.64, 7,054.74 and 1,241.16 is: 1,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.64 : 7,054.74 = 1,241.16 : x
  2. Step 2: Convert to fraction form
    4,703.64/7,054.74 = 1,241.16/x
  3. Step 3: Cross multiply
    4,703.64x = 7,054.74 × 1,241.16
  4. Step 4: Simplify right side
    4,703.64x = 8,756,061.10
  5. Step 5: Solve for x
    x = 8,756,061.10/4,703.64
  6. Step 6: Final answer
    x = 1,861.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.